Fundamental strings in open string theory at the tachyonic vacuum

Journal of Mathematical Physics

Volumn 42, Issue 7, 2001, Pages 2844-2853

  Ashoke, Sen ^a  

^a HARISH CHANDRA RESEARCH INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035402969     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1377037     Document Type: Article

References (68)

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2. A. Sen, "Stable non-BPS bound states of BPS D-branes," J. High Energy Phys. 9808, 010 (1998); hep-th/9805019; "Tachyon condensation on the brane antibrane system," J. High Energy Phys. 9808, 012 (1998); hep-th/9805170; "BPS D-branes on non-supersymmetric cycles," J. High Energy Phys. 12, 021 (1998); hep-th/9812031.
3. A. Sen, "Stable non-BPS bound states of BPS D-branes," J. High Energy Phys. 9808, 010 (1998); hep-th/9805019; "Tachyon condensation on the brane antibrane system," J. High Energy Phys. 9808, 012 (1998); hep-th/9805170; "BPS D-branes on non-supersymmetric cycles," J. High Energy Phys. 12, 021 (1998); hep-th/9812031.
4. A. Sen, "Stable non-BPS bound states of BPS D-branes," J. High Energy Phys. 9808, 010 (1998); hep-th/9805019; "Tachyon condensation on the brane antibrane system," J. High Energy Phys. 9808, 012 (1998); hep-th/9805170; "BPS D-branes on non-supersymmetric cycles," J. High Energy Phys. 12, 021 (1998); hep-th/9812031.
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7. P. Horava, "Type IIA D-branes, K-theory, and matrix theory," Adv. Theor. Math. Phys. 2, 1373 (1999); hep-th/9812135.
8. A. Recknagel and V. Schomerus, "Boundary deformation theory and moduli spaces of D-branes," Nucl. Phys. B 545, 233 (1999); hep-th/9811237; C. G. Callan, I. R. Klebanov, A. W. Ludwig, and J. M. Maldacena, "Exact solution of a boundary conformal field theory," Nucl. Phys. B 422, 417 (1994); hep-th/9402113; J. Polchinski and L. Thorlacius, "Free fermion representation of a boundary conformal field theory," Phys. Rev. D 50, 622 (1994); hep-th/9404008.
9. A. Recknagel and V. Schomerus, "Boundary deformation theory and moduli spaces of D-branes," Nucl. Phys. B 545, 233 (1999); hep-th/9811237; C. G. Callan, I. R. Klebanov, A. W. Ludwig, and J. M. Maldacena, "Exact solution of a boundary conformal field theory," Nucl. Phys. B 422, 417 (1994); hep-th/9402113; J. Polchinski and L. Thorlacius, "Free fermion representation of a boundary conformal field theory," Phys. Rev. D 50, 622 (1994); hep-th/9404008.
10. A. Recknagel and V. Schomerus, "Boundary deformation theory and moduli spaces of D-branes," Nucl. Phys. B 545, 233 (1999); hep-th/9811237; C. G. Callan, I. R. Klebanov, A. W. Ludwig, and J. M. Maldacena, "Exact solution of a boundary conformal field theory," Nucl. Phys. B 422, 417 (1994); hep-th/9402113; J. Polchinski and L. Thorlacius, "Free fermion representation of a boundary conformal field theory," Phys. Rev. D 50, 622 (1994); hep-th/9404008.
11. A. Sen, "SO(32) spinors of type I and other solitons on brane-antibrane pair," J. High Energy Phys. 9809, 023 (1998); hep-th/9808141; J. A. Harvey, D. Kutasov and E. J. Martinec, "On the relevance of tachyons," hep-th/0003101; P. Fendley, H. Saleur, and N. P. Warner, "Exact solution of a massless scalar field with a relevant boundary interaction," Nucl. Phys. B 430, 577 (1994); hep-th/9406125; J. Majumder and A. Sen, "Vortex pair creation on brane-antibrane pair via marginal deformation," J. High Energy Phys. 0006, 010 (2000); hep-th/0003124.
12. A. Sen, "SO(32) spinors of type I and other solitons on brane-antibrane pair," J. High Energy Phys. 9809, 023 (1998); hep-th/9808141; J. A. Harvey, D. Kutasov and E. J. Martinec, "On the relevance of tachyons," hep-th/0003101; P. Fendley, H. Saleur, and N. P. Warner, "Exact solution of a massless scalar field with a relevant boundary interaction," Nucl. Phys. B 430, 577 (1994); hep-th/9406125; J. Majumder and A. Sen, "Vortex pair creation on brane-antibrane pair via marginal deformation," J. High Energy Phys. 0006, 010 (2000); hep-th/0003124.
13. A. Sen, "SO(32) spinors of type I and other solitons on brane-antibrane pair," J. High Energy Phys. 9809, 023 (1998); hep-th/9808141; J. A. Harvey, D. Kutasov and E. J. Martinec, "On the relevance of tachyons," hep-th/0003101; P. Fendley, H. Saleur, and N. P. Warner, "Exact solution of a massless scalar field with a relevant boundary interaction," Nucl. Phys. B 430, 577 (1994); hep-th/9406125; J. Majumder and A. Sen, "Vortex pair creation on brane-antibrane pair via marginal deformation," J. High Energy Phys. 0006, 010 (2000); hep-th/0003124.
14. A. Sen, "SO(32) spinors of type I and other solitons on brane-antibrane pair," J. High Energy Phys. 9809, 023 (1998); hep-th/9808141; J. A. Harvey, D. Kutasov and E. J. Martinec, "On the relevance of tachyons," hep-th/0003101; P. Fendley, H. Saleur, and N. P. Warner, "Exact solution of a massless scalar field with a relevant boundary interaction," Nucl. Phys. B 430, 577 (1994); hep-th/9406125; J. Majumder and A. Sen, "Vortex pair creation on brane-antibrane pair via marginal deformation," J. High Energy Phys. 0006, 010 (2000); hep-th/0003124.
15. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
16. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
17. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
18. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
19. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
20. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
21. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
22. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
23. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
24. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
25. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
26. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
27. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
28. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
29. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
30. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
31. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
32. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
33. V. A. Kostelecky and S. Samuel, "The static tachyon potential in the open bosonic string theory," Phys. Lett. B 207, 169 (1988); V. A. Kostelecky and R. Potting, "Expectation values, Lorentz invariance, and CPT in the open bosonic string," ibid. 381, 89 (1996); hep-th/9605088; A. Sen, "Universality of the tachyon potential," J. High Energy Phys. 9912, 027 (1999); hep-th/9911116; A. Sen and B. Zwiebach, "Tachyon condensation in string field theory," J. High Energy Phys. 0003, 002 (2000); hep-th/9912249; N. Berkovits, "The tachyon potential in open Neveu-Schwarz string field theory," J. High Energy Phys. 0004, 022 (2000); hep-th/0001084; W. Taylor, "D-brane effective field theory from string field theory," Nucl. Phys. B 585, 171 (2000); hep-th/0001201; N. Moeller and W. Taylor, "Level truncation and the tachyon in open bosonic string field theory," Nucl. Phys. B 583, 105 (2000); hep-th/0002237; J. A. Harvey and P. Kraus, "D-branes as unstable lumps in bosonic open string field theory," J. High Energy Phys. 0004, 012 (2000); hep-th/0002117; N. Berkovits, A. Sen, and B. Zwiebach, "Tachyon condensation in superstring field theory," hep-th/0002211; R. de Mello Koch, A. Jevicki, M. Mihailescu, and R. Tatar, "Lumps and p-branes in open string field theory," Phys. Lett. B 482, 249 (2000); hep-th/0003031; P. De Smet and J. Raeymaekers, "Level four approximation to the tachyon potential in superstring field theory," J. High Energy Phys. 0005, 051 (2000); hep-th/0003220; A. Iqbal and A. Naqvi, "Tachyon condensation on a non-BPS D-brane," hep-th/0004015; N. Moeller, A. Sen, and B. Zwiebach, "D-branes as tachyon lumps in string field theory," J. High Energy Phys. 0008, 039 (2000); hep-th/0005036; L. Rastelli and B. Zwiebach, "Tachyon potentials, star products and universality," hep-th/0006240; R. de Mello Koch and J. P. Rodrigues, "Lumps in level truncated open string field theory," hep-th/0008053; N. Moeller, "Codimension two lump solutions in string field theory and tachyonic theories," hep-th/0008101; A. Kostelecky and R. Potting, "Analytical construction of a nonperturbative vacuum for the open bosonic string," hep-th/0008252; H. Hata and S. Shinohara, "BRST invariance of the non-perturbative vacuum in bosonic open string field theory," J. High Energy Phys. 0009, 035 (2000); hep-th/0009105; B. Zwiebach, "Trimming the tachyon string field with SU(1,1)," hep-th/0010190.
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