Supergravity with self-dual B fields and instantons in noncommutative gauge theory

Journal of High Energy Physics

Volumn 4, Issue 3, 2000, Pages 1-22

  Das, Sumit R ^a,b   Rama, S Kalyana ^c   Trivedi, Sandip P ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b HARISH CHANDRA RESEARCH INSTITUTE   (India)

^c INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

Black Holes in String Theory; D branes

Indexed keywords

EID: 6444227081     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/03/004     Document Type: Article

References (29)

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]; M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
2. 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]; M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
3. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
4. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
5. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
6. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
7. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
8. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
9. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
10. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
11. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background b- field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; M.M. Sheikh-Jabbari, Open strings in a b-field background as electric dipoles, Phys. Lett. B 455 (1999) 129 [hep-th/9901080]; Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205]; D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry, hep-th/9908056; N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, Wilson loops in noncommutative Yang-Mills, hep-th/9910004.
12. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
13. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
14. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]; E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
15. A. Hashimoto and N. Itzhaki, Non-commutative Yang-Mills and the AdS/cft correspondence, Phys. Lett. B 465 (1999) 142 [hep-th/9907166].
16. 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].
17. M. Li and Y.-S. Wu, Holography and noncommutative Yang-Mills, Phys. Rev. Lett. 84 (2000) 2084 [hep-th/9909085].
18. M. Alishahiha, Y. Oz and M.M. Sheikh-Jabbari, Supergravity and large-N noncommutative field theories, J. High Energy Phys. 11 (1999) 007 [hep-th/9909215]; A. Mikhailov, D1d5 system and noncommutative geometry, hep-th/9910126; A. Dhar, G. Mandal, S.R. Wadia and K.P. Yogendran, D-1/D-5 system with B field, noncommutative geometry and the CFT of the Higgs branch, hep-th/9910194.
19. M. Alishahiha, Y. Oz and M.M. Sheikh-Jabbari, Supergravity and large-N noncommutative field theories, J. High Energy Phys. 11 (1999) 007 [hep-th/9909215]; A. Mikhailov, D1d5 system and noncommutative geometry, hep-th/9910126; A. Dhar, G. Mandal, S.R. Wadia and K.P. Yogendran, D-1/D-5 system with B field, noncommutative geometry and the CFT of the Higgs branch, hep-th/9910194.
20. M. Alishahiha, Y. Oz and M.M. Sheikh-Jabbari, Supergravity and large-N noncommutative field theories, J. High Energy Phys. 11 (1999) 007 [hep-th/9909215]; A. Mikhailov, D1d5 system and noncommutative geometry, hep-th/9910126; A. Dhar, G. Mandal, S.R. Wadia and K.P. Yogendran, D-1/D-5 system with B field, noncommutative geometry and the CFT of the Higgs branch, hep-th/9910194.
21. 4, Nucl. Phys. B 541 (1999) 179 [hep-th/9806103]; M. Bianchi, M.B. Green, S. Kovacs and G. Rossi, Instantons in supersymmetric Yang-Mills and d-instantons in IIB superstring theory, J. High Energy Phys. 08 (1998) 013 [hep-th/9807033].
22. 4, Nucl. Phys. B 541 (1999) 179 [hep-th/9806103]; M. Bianchi, M.B. Green, S. Kovacs and G. Rossi, Instantons in supersymmetric Yang-Mills and d-instantons in IIB superstring theory, J. High Energy Phys. 08 (1998) 013 [hep-th/9807033].
23. V. Balasubramanian, P. Kraus, A. Lawrence and S.P. Trivedi, Holographic probes of anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [hep-th/9808017].
24. N. Nekrasov and A. Schwarz, Instantons on noncommutative r**4 and (2,0) superconformal six dimensional theory, Comm. Math. Phys. 198 (1998) 689 [hep-th/9802068].
25. S.S. Gubser, A. Hashimoto, I.R. Klebanov and M. Krasnitz, Scalar absorption and the breaking of the world volume conformal invariance, Nucl. Phys. B 526 (1998) 393 [hep-th/9803023].
26. S.S. Gubser and A. Hashimoto, Exact absorption probabilities for the D3-brane, Comm. Math. Phys. 203 (1999) 325 [hep-th/9805140].
27. G.W. Gibbons, M.B. Green and M.J. Perry, Instantons and seven-branes in type IIB superstring theory, Phys. Lett. B 370 (1996) 37 [hep-th/9511080].
28. M.B. Green and M. Gutperle, Effects of D-instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093].
29. A. Astashkevich, N. Nekrasov and A. Schwarz, On noncommutative Nahm transform, hep-th/9810147.