A note on background independence in noncommutative gauge theories, matrix model, and tachyon condensation

Journal of High Energy Physics

Volumn 4, Issue 9 PART A, 2000, Pages

  Seiberg, Nathan ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

D branes; M(atrix) Theories; Non Commutative Geometry

Indexed keywords

EID: 7744244278     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/09/003     Document Type: Article

References (38)

1. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043].
2. O.J. Ganor, S. Ramgoolam and I.W. Taylor, Branes, fluxes and duality in M(atrix)-theory, Nucl Phys. B 492 (1997) 191 [hep-th/9611202].
3. T. Banks, N. Seiberg and S. Shenker, Branes from matrices, Nucl. Phys. B 490 (1997) 91 [hep-th/9612157].
4. 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].
5. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
6. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
7. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
8. A. Sen, Descent relations among bosonic D-branes, Int. J. Mod. Phys. A 14 (1999) 4061 [hep-th/9902105]; Universality of the tachyon potential, J. High Energy Phys. 12 (1999) 027 [hep-th/9911116].
9. A. Sen, Descent relations among bosonic D-branes, Int. J. Mod. Phys. A 14 (1999) 4061 [hep-th/9902105]; Universality of the tachyon potential, J. High Energy Phys. 12 (1999) 027 [hep-th/9911116].
10. A. Sen and B. Zwiebach, Tachyon condensation in string field theory, J. High Energy Phys. 03 (2000) 002 [hep-th/9912249].
11. N. Moeller and W. Taylor, Level truncation and the tachyon in open bosonic string field theory, Nucl. Phys. B 583 (2000) 105 [hep-th/0002237].
12. K. Dasgupta, S. Mukhi and G. Rajesh, Noncommutative tachyons, J. High Energy Phys. 06 (2000) 022 [hep-th/0005006].
13. 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].
14. E. Witten, Noncommutative tachyons and string field theory, hep-th/0006071.
15. L. Rastelli and B. Zwiebach, Tachyon potentials, star products and universality, hep-th/0006240.
16. C. Sochichiu, Noncommutative tachyonic solitons: interaction with gauge field, J. High Energy Phys. 08 (2000) 026 [hep-th/0007217].
17. R. Gopakumar, S. Minwalla and A. Strominger, Symmetry restoration and tachyon condensation in open string theory, hep-th/0007226.
18. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring, Nucl. Phys. B 498 (1997) 467 [hep-th/9612115].
19. B. Pioline and A. Schwarz, Marita equivalence and T-duality (or B versus Θ), J. High Energy Phys. 08 (1999) 021 [hep-th/9908019].
20. O. Andreev and H. Dorn, On open string sigma-model and noncommutative gauge fields, Phys. Lett. B 476 (2000) 402 [hep-th/9912070].
21. M. Li, Strings from IIB matrices, Nucl. Phys. B 499 (1997) 149 [hep-th/9612222].
22. H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model, Nucl. Phys. B 565 (2000) 176 [hep-th/9908141].
23. N. Ishibashi, A relation between commutative and noncommutative descriptions of D-branes, hep-th/9909176.
24. N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, Nucl. Phys. B 573 (2000) 573 [hep-th/9910004].
25. I. Bars and D. Minic, Non-commutative geometry on a discrete periodic lattice and gauge theory, hep-th/9910091.
26. J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Finite n matrix models of noncommutative gauge theory, J. High Energy Phys. 11 (1999) 029 [hep-th/9911041]; Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158] J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, large-N dynamics of dimensionally reduced 4d SU(n) super Yang-Mills theory, J. High Energy Phys. 07 (2000) 013 [hep-th/0003208] J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
27. J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Finite n matrix models of noncommutative gauge theory, J. High Energy Phys. 11 (1999) 029 [hep-th/9911041]; Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158] J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, large-N dynamics of dimensionally reduced 4d SU(n) super Yang-Mills theory, J. High Energy Phys. 07 (2000) 013 [hep-th/0003208] J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
28. J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Finite n matrix models of noncommutative gauge theory, J. High Energy Phys. 11 (1999) 029 [hep-th/9911041]; Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158] J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, large-N dynamics of dimensionally reduced 4d SU(n) super Yang-Mills theory, J. High Energy Phys. 07 (2000) 013 [hep-th/0003208] J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
29. J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Finite n matrix models of noncommutative gauge theory, J. High Energy Phys. 11 (1999) 029 [hep-th/9911041]; Nonperturbative dynamics of noncommutative gauge theory, Phys. Lett. B 480 (2000) 399 [hep-th/0002158] J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, large-N dynamics of dimensionally reduced 4d SU(n) super Yang-Mills theory, J. High Energy Phys. 07 (2000) 013 [hep-th/0003208] J. Ambjorn, Y.M. Makeenko, J. Nishimura and R.J. Szabo, Lattice gauge fields and discrete noncommutative Yang-Mills theory, J. High Energy Phys. 05 (2000) 023 [hep-th/0004147].
30. L. Alvarez-Gaume and S.R. Wadia, Gauge theory on a quantum phase space, hep-th/0006219.
31. n and matrix theory, Adv. Theor. Math. Phys. 2 (1998) 51 [hep-th/9709220].
32. N. Seiberg, Why is the matrix model correct?, Phys. Rev. Lett. 79 (1997) 3577 [hep-th/9710009].
33. L. Cornalba, D-brane physics and noncommutative Yang-Mills theory, hep-th/9909081.
34. G. Rajesh, unpublished.
35. R. Gopakumar, S. Minwalla and A. Strominger, Noncommutative solitons, J. High Energy Phys. 05 (2000) 020 [hep-th/0003160].
36. A.A. Tseytlin, On non-abelian generalisation of the Born-Infeld action in string theory, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125].
37. E.S. Fradkin, A.A. Tseytlin, Nonlinear electrodynamics from quantized strings, Phys. Lett. B 163 (1985) 123.
38. C.G. Callan, C. Lovelace, C.R. Nappi, S.A. Yost, Open Strings in background gauge fields, Nucl. Phys. B 280 (1987) 599.