Analytic solution for tachyon condensation in open string field theory

Advances in Theoretical and Mathematical Physics

Volumn 10, Issue 4, 2006, Pages 433-501

  Schnabl, Martin ^a  

^a CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846195933     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2006.v10.n4.a1     Document Type: Article

References (74)

1. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986), 253.
2. W. Taylor and B. Zwiebach, D-branes, tachyons, and string field theory
3. A. Sen, Tachyon dynamics in open string theory, Int. J. Mod. Phys. A 20 (2005), 5513;
4. L. Rastelli, A. Sen and B. Zwiebach, String field theory around the tachyon vacuum, Adv. Theor. Math. Phys. 5 (2002), 353;
5. A. Sen and B. Zwiebach, Tachyon condensation in string field theory, JHEP 0003 (2000), 002;
6. V.A. Kostelecký and S. Samuel, On a nonperturbative vacuum for the open Bosonic string, Nucl. Phys. B 336 (1990), 263.
7. K. Bardakci, Dual models and spontaneous symmetry breaking, Nucl. Phys. B 68 (1974), 331.
8. K. Bardakci and M.B. Halpern, Explicit spontaneous breakdown in a dual model, Phys. Rev. D 10 (1974), 4230.
9. K. Bardakci and M.B. Halpern, Explicit spontaneous breakdown in a dual model. 2. N point functions, Nucl. Phys. B 96 (1975), 285.
10. K. Bardakci, Spontaneous symmetry breakdown in the standard dual string model, Nucl. Phys. B 133 (1978), 297.
11. A. Sen, Descent relations among bosonic D-branes, Int. J. Mod. Phys. A 14 (1999), 4061;
12. A. Sen, Universality of the tachyon potential, JHEP 9912 (1999), 027;
13. A.A. Gerasimov and S.L. Shatashvili, On exact tachyon potential in open string field theory, JHEP 0010 (2000), 034;
14. D. Kutasov, M. Marino and G.W. Moore, Some exact results on tachyon condensation in string field theory, JHEP 0010 (2000), 045;
15. D. Ghoshal and A. Sen, Normalisation of the background independent open string field theory action, JHEP 0011 (2000), 021;
16. L. Rastelli, A. Sen and B. Zwiebach, Boundary CFT construction of D-branes in vacuum string field theory, JHEP 0111, (2001), 045;
17. K. Okuyama, Ratio of tensions from vacuum string field theory, JHEP 0203 (2002), 050;
18. Y. Okawa, Open string states and D-brane tension from vacuum string field theory, JHEP 0207 (2002), 003;
19. N. Moeller and W. Taylor, Level truncation and the tachyon in open bosonic string field theory, Nucl. Phys. B 583 (2000), 105;
20. D. Gaiotto and L. Rastelli, Experimental string field theory, JHEP 0308 (2003), 048;
21. J.A. Harvey and P. Kraus, D-branes as unstable lumps in bosonic open string field theory, JHEP 0004 (2000), 012;
22. R. de Mello Koch, A. Jevicki, M. Mihailescu and R. Tatar, Lumps and p-branes in open string field theory, Phys. Lett. B 482 (2000), 249;
23. N. Moeller, A. Sen and B. Zwiebach, D-branes as tachyon lumps in string field theory, JHEP 0008, (2000), 039;
24. I. Ellwood and W. Taylor, Open string field theory without open strings, Phys. Lett. B 512, (2001), 181;
25. I. Ellwood, B. Feng, Y.H. He and N. Moeller, The identity string field and the tachyon vacuum, JHEP 0107 (2001), 016;
26. S. Giusto and C. Imbimbo, Physical states at the tachyonic vacuum of open string field theory, Nucl. Phys. B 677, (2004), 52;
27. K. Ohmori, A review on tachyon condensation in open string field theories
28. P.J. De Smet, Tachyon condensation: Calculations in string field theory
29. I.Y. Arefeva, D.M. Belov, A.A. Giryavets, A.S. Koshelev and P.B. Medvedev, Noncommutative field theories and (super)string field theories
30. L. Bonora, C. Maccaferri, D. Mamone and M. Salizzoni, Topics in string field theory
31. H. Hata and S. Shinohara, BRST invariance of the non-perturbative vacuum in bosonic open string field theory, JHEP 0009 (2000), 035;
32. B. Zwiebach, Trimming the tachyon string field with SU(1, 1)
33. M. Schnabl, Constraints on the tachyon condensate from anomalous symmetries, Phys. Lett. B 504 (2001), 61;
34. D. Gaiotto, L. Rastelli, A. Sen and B. Zwiebach, Patterns in open string field theory solutions, JHEP 0203 (2002), 003;
35. M. Schnabl, String field theory at large B-field and noncommutative geometry, JHEP 0011, (2000), 031;
36. J. Klusoň, Exact solutions of open bosonic string field theory, JHEP 0204 (2002), 043;
37. I. Kishimoto and K. Ohmori, CFT description of identity string field: Toward derivation of the VSFT action, JHEP 0205 (2002), 036;
38. T. Takahashi and S. Tanimoto, Marginal and scalar solutions in cubic open string field theory, JHEP 0203 (2002), 033;
39. V.A. Kostelecký and R. Potting, Analytical construction of a nonperturbative vacuum for the open bosonic string, Phys. Rev. D 63 (2001), 046007;
40. Y. Okawa, Solving Witten's string field theory using the butterfly state, Phys. Rev. D 69 (2004), 086001;
41. H.t. Yang, Solving Witten's SFT by insertion of operators on projectors, JHEP 0409 (2004), 002;
42. I. Kishimoto and T. Takahashi, Open string field theory around universal solutions, Prog. Theor. Phys. 108 (2002), 591;
43. T. Takahashi, Tachyon condensation and universal solutions in string field theory, Nucl. Phys. B 670 (2003), 161;
44. T. Takahashi and S. Zeze, Gauge fixing and scattering amplitudes in string field theory around universal solutions, Prog. Theor. Phys. 110 (2003), 159;
45. I. Bars, Map of Witten's* to Moyal's*, Phys. Lett. B 517 (2001), 436;
46. L. Rastelli, A. Sen and B. Zwiebach, Star algebra spectroscopy, JHEP 0203 (2002), 029;
47. M.R. Douglas, H. Liu, G.W. Moore and B. Zwiebach, Open string star as a continuous Moyal product, JHEP 0204 (2002), 022;
48. I. Bars and Y. Matsuo, Computing in string field theory using the Moyal star product, Phys. Rev. D 66 (2002), 066003;
49. D.M. Belov and C. Lovelace, Star products made easy, Phys. Rev. D 68 (2003), 066003;
50. S.B. Giddings, The Veneziano amplitude from interacting string field theory, Nucl. Phys. B 278 (1986), 242.
51. J.H. Sloan, The scattering amplitude for four off-shell tachyons from functional integrals, Nucl. Phys. B 302 (1988), 349.
52. S. Samuel, Covariant off-shell string amplitudes, Nucl. Phys. B 308 (1988), 285.
53. W. Taylor, Perturbative diagrams in string field theory
54. L. Rastelli and B. Zwiebach, Tachyon potentials, star products and universality, JHEP 0109 (2001), 038;
55. M. Schnabl, Wedge states in string field theory, JHEP 0301 (2003), 004;
56. C.R. Preitschopf, C.B. Thorn and S.A. Yost, Superstring field theory, Nucl. Phys. B 337 (1990), 363.
57. A. LeClair, M.E. Peskin and C.R. Preitschopf, String field theory on the conformal plane. 1. Kinematical principles, Nucl. Phys. B 317 (1989), 411.
58. A. LeClair, M.E. Peskin and C.R. Preitschopf, String field theory on the conformal plane. 2. Generalized gluing, Nucl. Phys. B 317 (1989), 464.
59. B. Zwiebach, Closed string field theory: quantum action and the B-V master equation, Nucl. Phys. B 390 (1993), 33;
60. M. Schnabl, Remarks on surface states and derivations in string field theory, Progress in String, Field and Particle Theory, Cargese, Corsica, France, 25 Jun - 11 Jul 2002, Kluwer Academic Publishers.
61. L. Rastelli, A. Sen and B. Zwiebach, Classical solutions in string field theory around the tachyon vacuum, Adv. Theor. Math. Phys. 5 (2002), 393;
62. G.H. Hardy, Divergent series, 2nd edition, Chelsea Publishing Company, New York, 1991.
63. G.T. Horowitz and S.P. Martin, Conformal field theory and the symmetries of string field theory, Nucl. Phys. B 296 (1988), 220.
64. G.T. Horowitz and A. Strominger, Translations as inner derivations and associativity anomalies in open string field theory, Phys. Lett. B 185 (1987), 45.
65. W. Siegel and B. Zwiebach, Gauge string fields, Nucl. Phys. B 263, (1986), 105.
66. W. Taylor, A perturbative analysis of tachyon condensation, JHEP 0303 (2003), 029;
67. D. Gaiotto, L. Rastelli, A. Sen and B. Zwiebach, Star algebra projectors, JHEP 0204 (2002), 060;
68. D. Gaiotto, L. Rastelli, A. Sen and B. Zwiebach, Ghost structure and closed strings in vacuum string field theory, Adv. Theor. Math. Phys. 6 (2003), 403;
69. M. Schnabl, Anomalous reparametrizations and butterfly states in string field theory, Nucl. Phys. B 649 (2003), 101;
70. A. Boyarsky and O. Ruchayskiy, Integrability in SFT and new representation of KP tau-function, JHEP 0303 (2003), 027;
71. L. Bonora and A.S. Sorin, Integrable structures in string field theory, Phys. Lett. B 553 (2003), 317;
72. E.W. Weisstein. Bernoulli number. From Mathworld-a wolfram web resource. http://mathworld.wolfram.com/BernoulliNumber.html
73. E.T. Whittaker and G.N. Watson, A course of modern analysis, 4th edition, Cambridge University Press, 1952.
74. H.M. Edwards, Riemann's zeta function, Academic Press, 1974.