On the hierarchy between non-commutative and ordinary supersymmetric Yang-Mills

Journal of High Energy Physics

Volumn 3, Issue 12, 1999, Pages

  Hashimoto, Akikazu ^a   Itzhaki, Nissan ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

D branes; Duality in gauge field theories

Indexed keywords

EID: 33646069323     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/1999/12/007     Document Type: Article

References (37)

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. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
3. P.-M. Ho, Twisted bundle on quantum torus and BPS states in matrix theory, Phys. Lett. B 434 (1998) 41 [hep-th/9803166].
4. D. Bigatti, Non commutative geometry and super Yang-Mills theory, Phys. Lett. B 451 (1999) 324 [hep-th/9804120].
5. G. Landi, F. Lizzi and R.J. Szabo, String geometry and the noncommutative torus, Comm. Math. Phys. 206 (1999) 603 [hep-th/9806099].
6. B. Morariu and B. Zumino, Super Yang-Mills on the noncommutative torus, hep-th/9807198.
7. C. Hofman, E. Verlinde and G. Zwart, U-duality invariance of the four-dimensional Born-Infeld theory, J. High Energy Phys. 10 (1998) 020 [hep-th/9808128].
8. C. Hofman and E. Verlinde, U-duality of Born-Infeld on the noncommutative twotorus, J. High Energy Phys. 12 (1998) 010 [hep-th/9810116].
9. C. Hofman and E. Ver linde, Gauge bundles and Born-Infeld on the noncommutative torus, Nucl. Phys. B 547 (1999) 157 [hep-th/9810219].
10. A. Schwarz, Marita equivalence and duality, Nucl. Phys. B 534 (1998) 720 [hep-th/9805034].
11. A. Konechny and A. Schwarz, BPS states on noncommutative tori and duality, Nucl. Phys. B 550 (1999) 561 [hep-th/9811159].
12. A. Konechny and A. Schwarz, Supersymmetry algebra and BPS states of super YangMills theories on noncommutative tori, Phys. Lett. B 453 (1999) 23 [hep-th/9901077].
13. A. Konechny and A. Schwarz, 1/4-BPS states on noncommutative tori, J. High Energy Phys. 09 (1999) 030 [hep-th/9907008].
14. B. Pioline and A. Schwarz, Marita equivalence and T-duality (or B versus Q), J. High Energy Phys. 08 (1999) 021 [hep-th/9908019].
15. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
16. G. 't Hooft, Some twisted self dual solutions for the Yang-Mills equations on a hypertorus, Comm. Math. Phys. 81 (1981) 267.
17. P. van Baal, SU(-AT) Yang-Mills solutions with constant field strength on T4, Comm. Math. Phys. 94 (1984) 397.
18. A. Hashimoto and W. Taylor IV, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys. B 503 (1997) 193 [hep-th/9703217].
19. J.M. Maldacena and L. Susskind, D-branes and fat black holes, Nucl. Phys. B 475 (1996) 679 [hep-th/9604042].
20. A. Hashimoto and N. Itzhaki, N on-commutative Yang-Mills and the AdS/CFT correspondence, Phys. Lett. B 465 (1999) 142 [hep-th/9907166].
21. J.M. Maldacena and J.G. Russo, large-N limit of non-commutative gauge theories, J. High Energy Phys. 09 (1999) 025 [hep-th/9908134].
22. L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114.
23. N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Super-gravity and the large-N limit of theories with sixteen supercharges, Phys. Rev. D 58 (1998) 046004 [hep-th/9802042].
24. R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052].
25. R. Gregory and R. Laflamme, The instability of charged black strings and p-branes, Nucl. Phys. B 428 (1994) 399 [hep-th/9404071].
26. J.L.F. Barbon, I.I. Kogan and E. Rabinovici, On stringy thresholds in SYM/AdS thermodynamics, Nucl. Phys. B 544 (1999) 104 [hep-th/9809033].
27. M. Li, E. Martinec and V. Sahakian, Black holes and the SYM phase diagram, Phys. Rev. D 59 (1999) 044035 [hep-th/9809061].
28. E. Martinec and V. Sahakian, Black holes and the SYM phase diagram. II, Phys. Rev. D 59 (1999) 124005 [hep-th/9810224].
29. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rep. 244 (1994) 77 [hep-th/9401139].
30. J. Maldacena, The large-N limit of superconformai field theories and super-gravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
31. T. Eguchi and H. Kawai, Reduction of dynamical degrees of freedom in the large-N gauge theory, Phys. Rev. Lett. 48 (1982) 1063.
32. G. Bhanot, U.M. Heller and H. Neuberger, A phase transition in the quenched EguchiKawai model, Phys. Lett. B 115 (1982) 237.
33. G. Parisi, A simple expression for planar field theories, Phys. Lett. B 112 (1982) 463.
34. D.J. Gross and Y. Kitazawa, A quenched momentum prescription for large-N theories, Nucl. Phys. B 206 (1982) 440.
35. H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model, hep-th/9908141.
36. I. Bars and D. Minie, N on-commutative geometry on a discrete periodic lattice and gauge theory, hep-th/9910091.
37. 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].