Exact tachyon condensation on non-commutative torus

Journal of High Energy Physics

Volumn 5, Issue 6, 2001, Pages 1-31

  Kajiura, Hiroshige ^a   Matsuo, Yutaka ^b   Takayanagi, Tadashi ^b  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Brane Dynamics in Gauge Theories; Non Commutative Geometry; Superstrings and Heterotic Strings

Indexed keywords

EID: 33744542914     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/06/041     Document Type: Article

References (53)

1. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
2. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142] and references therein.
3. A. Connes, Noncommutative geometry, Academic Press 1994.
4. R. Minasian and G. Moore, K-theory and Ramond-Ramond charge, J. High Energy Phys. 11 (1997) 002 [hep-th/9710230].
5. E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998) 019 [hep-th/9810188].
6. A review is A. Sen, Non-BPS states and branes in string theory, hep-th/9904207.
7. A. Sen, Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170].
8. R. Gopakumar, S. Minwalla and A. Strominger, Noncommutative solitons, J. High Energy Phys. 05 (2000) 020 [hep-th/0003160].
9. J.A. Harvey, P. Kraus, F. Larsen and E.J. Martinec, D-branes and strings as noncommutative solitons, J. High Energy Phys. 07 (2000) 042 [hep-th/0005031].
10. K. Dasgupta, S. Mukhi and G. Rajesh, Noncommutative tachyons, J. High Energy Phys. 06 (2000) 022 [hep-th/0005006].
11. Y. Matsuo, Topological charges of noncommutative soliton, Phys. Lett. B 499 (2001) 223 [hep-th/0009002].
12. J.A. Harvey and G. Moore, Noncommutative tachyons and K-theory, hep-th/0009030.
13. E. Witten, Overview of K-theory applied to strings, Int. J. Mod. Phys. A 16 (2001) 693 [hep-th/0007175].
14. I. Bars, H. Kajiura, Y. Matsuo and T. Takayanagi, Tachyon condensation on noncommutative torus, Phys. Rev. D 63 (2001) 086001 [hep-th/0010101].
15. E.M. Sahraoui and E.H. Saidi, Solitons on compact and noncompact spaces in large noncommutativity, hep-th/0012259.
16. E.J. Martinec and G. Moore, Noncommutative solitons on orbifolds, hep-th/0101199.
17. F.P. Boca, Projections in rotation algebras and theta functions, Comm. Math. Phys. 202 (1999) 325.
18. R. Gopakumar, M. Headrick and M. Spradlin, On noncommutative multi-solitons, hep-th/0103256.
19. Y. Hikida, M. Nozaki and T. Takayanagi, Tachyon condensation on fuzzy sphere and noncommutative solitons, Nucl. Phys. B 595 (2001) 319 [hep-th/0008023].
20. J.A. Harvey, P. Kraus and F. Larsen, Exact noncommutative solitons, J. High Energy Phys. 12 (2000) 024 [hep-th/0010060].
21. A. Konechny and A. Schwarz, Introduction to M(atrix) theory and noncommutative geometry, hep-th/0012145.
22. C. Kennedy and A. Wilkins, Ramond-Ramond couplings on brane-antibrane systems, Phys. Lett. B 464 (1999) 206 [hep-th/9905195].
23. P. Kraus and F. Larsen, Boundary string field theory of the D ¯D system, Phys. Rev. D 63 (2001) 106004 [hep-th/0012198].
24. T. Takayanagi, S. Terashima and T. Uesugi, Brane-antibrane action from boundary string field theory, J. High Energy Phys. 03 (2001) 019 [hep-th/0012210].
25. A. Schwarz, Morita equivalence and duality, Nucl. Phys. B 534 (1998) 720 [hep-th/9805034].
26. D. Quillen, Superconnection and the Chern character, Topology 24 (1985) 89.
27. I. Raeburn and D.P. Williams, Morita equivalence and continuous-trace C∗-algebra, Mathematical Surveys and Monographs, 60. Amer. Math. Soc. 1998.
28. ∗-algebras associated with irrational rotations, Pacific J. Math. 93(2) (1981) 415.
29. M. Rieffel, Projective modules over higher-dimensional non-commutative tori, Canad. J. Math. 40(2) (1988) 257.
30. E. Witten, Noncommutative tachyons and string field theory, hep-th/0006071.
31. M. Rieffel and A. Schwarz, Morita equivalence of multidimensional noncommutative tori, Internat. J. Math. 10 (2) (1999) 289, math.QA/9803057.
32. B. Pioline and A. Schwarz, Morita equivalence and T-duality (or B versus Θ), J. High Energy Phys. 08 (1999) 021 [hep-th/9908019].
33. ∗ algebras, J. Operator Theory 4 (1980) 93;
34. ∗-algebra into an AF-algebra, J. Operator Theory 4 (1980) 201.
35. A. Connes, C* algebras and differential geometry, Compt. Rend. Acad. Sci. (Ser. I Math. ) A290 (1980) 599 [hep-th/0101093].
36. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
37. P.-M. Ho, Twisted bundle on quantum torus and BPS states in matrix theory, Phys. Lett. B 434 (1998) 41 [hep-th/9803166];
38. B. Morariu and B. Zumino, Super Yang-Mills on the noncommutative torus, hep-th/9807198;
39. D. Brace, B. Morariu and B. Zumino, Dualities of the matrix model from T-duality of the type-II string, Nucl. Phys. B 545 (1999) 192 [hep-th/9810099].
40. C. Hofman and E. Verlinde, U-duality of Born-Infeld on the noncommutative two-torus, J. High Energy Phys. 12 (1998) 010 [hep-th/9810116].
41. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rep. 244 (1994) 77 [hep-th/9401139].
42. A. Sen, Supersymmetric world-volume action for non-BPS D-branes, J. High Energy Phys. 10 (1999) 008 [hep-th/9909062].
43. A. Sen, BPS D-branes on non-supersymmetric cycles, J. High Energy Phys. 12 (1998) 021 [hep-th/9812031].
44. A. Connes and M. Rieffel, Yang-Mills for non-commutative two-tori, Contemp. Math. 621987237.
45. E. Witten, On background independent open string field theory, Phys. Rev. D 46 (1992) 5467 [hep-th/9208027];
46. Some computations in background independent off-shell string theory, Phys. Rev. D 47 (1993) 3405 [hep-th/9210065].
47. A.A. Gerasimov and S.L. Shatashvili, On exact tachyon potential in open string field theory, J. High Energy Phys. 10 (2000) 034 [hep-th/0009103].
48. D. Kutasov, M. Marino and G. Moore, Some exact results on tachyon condensation in string field theory, J. High Energy Phys. 10 (2000) 045 [hep-th/0009148];
49. Remarks on tachyon condensation in superstring field theory, hep-th/0010108.
50. K. Ichikawa and Y. Matsuo work in progress.
51. S. Mukhi and N.V. Suryanarayana, Gauge-invariant couplings of noncommutative branes to Ramond-Ramond backgrounds, J. High Energy Phys. 05 (2001) 023 [hep-th/0104045];
52. Chern-Simons terms on noncommutative branes, J. High Energy Phys. 11 (2000) 006 [hep-th/0009101].
53. T. Krajewski and M. Schnabl, Exact solitons on noncommutative tori, hep-th/0104090.