Matrix dynamics of fuzzy spheres

Journal of High Energy Physics

Volumn 6, Issue 1, 2002, Pages 833-858

  Jatkar, Dileep P ^a   Mandal, Gautam ^b   Wadia, Spenta R ^b   Yogendran, K Pattabhirama ^b  

^a HARISH CHANDRA RESEARCH INSTITUTE   (India)

^b TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

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

Indexed keywords

EID: 23044506122     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/01/039     Document Type: Article

References (40)

1. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
2. W.I. Taylor and M. Van Raamsdonk, Multiple Dp-branes in weak background fields, Nucl. Phys. B 573 (2000) 703 [hep-th/9910052].
3. C. Bachas, M.R. Douglas and C. Schweigert, Flux stabilization of D-branes, J. High Energy Phys. 05 (2000) 048 [hep-th/0003037].
4. J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, J. High Energy Phys. 06 (2000) 008 [hep-th/0003075].
5. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136.
6. M. Li, Fuzzy gravitons from uncertain spacetime, Phys. Rev. D 63 (2001) 086002 [hep-th/0003173].
7. A.Y. Alekseev, A. Recknagel and V. Schomerus, Brane dynamics in background fluxes and non-commutative geometry, J. High Energy Phys. 05 (2000) 010 [hep-th/0003187].
8. J. Pawelczyk, SU(2) WZW D-branes and their noncommutative geometry from dbi action, J. High Energy Phys. 08 (2000) 006 [hep-th/0003057].
9. C.V. Johnson, Enhancons, fuzzy spheres and multi-monopoles, Phys. Rev. D 63 (2001) 065004 [hep-th/0004068].
10. S.P. Trivedi and S. Vaidya, Fuzzy cosets and their gravity duals, J. High Energy Phys. 09 (2000) 041 [hep-th/0007011].
11. J. Pawelczyk and S.-J. Rey, Ramond-Ramond flux stabilization of D-branes, Phys. Lett. B 493 (2000) 395 [hep-th/0007154].
12. 2, Phys. Lett. B 512 (2001) 403 [hep-th/0102212].
13. C.-S. Chu, J. Madore and H. Steinacker, Scaling limits of the fuzzy sphere at one loop, J. High Energy Phys. 08 (2001) 038 [hep-th/0106205].
14. S. Iso, Y. Kimura, K. Tanaka and K. Wakatsuki, Noncommutative gauge theory on fuzzy sphere from matrix model, Nucl. Phys. B 604 (2001) 121 [hep-th/0101102].
15. C.V. Johnson, The enhancon, multimonopoles and fuzzy geometry, Int. J. Mod. Phys. A 16 (2001) 990 [hep-th/0011008].
16. P.-M. Ho, Fuzzy sphere from matrix model, J. High Energy Phys. 12 (2000) 015 [hep-th/0010165].
17. S. Bal and H. Takata, Interaction between two fuzzy spheres, hep-th/0108002;
18. H. Takata, talk in Workshop in String theory, IMSc Chennai, India Dec. 2001.
19. W.I. Taylor, The M(atrix) model of M-theory, hep-th/0002016.
20. W. Taylor, M(atrix) theory: matrix quantum mechanics as a fundamental theory, Rev. Mod. Phys. 73 (2001) 419 [hep-th/0101126].
21. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
22. D. Youm, A note on thermodynamics and holography of moving giant gravitons, Phys. Rev. D 64 (2001) 065014 [hep-th/0104011].
23. J.Y. Kim and Y.S. Myung, Vibration modes of giant gravitons in the background of dilatonic D-branes, Phys. Lett. B 509 (2001) 157 [hep-th/0103001].
24. A. Mikhailov, Giant gravitons from holomorphic surfaces, J. High Energy Phys. 11 (2000) 027 [hep-th/0010206].
25. S.R. Das, A. Jevicki and S.D. Mathur, Vibration modes of giant gravitons, Phys. Rev. D 63 (2001) 024013 [hep-th/0009019].
26. S.R. Das, S.P. Trivedi and S. Vaidya, Magnetic moments of branes and giant gravitons, J. High Energy Phys. 10 (2000) 037 [hep-th/0008203].
27. S.R. Das, A. Jevicki and S.D. Mathur, Giant gravitons, BPS bounds and noncommutativity, Phys. Rev. D 63 (2001) 044001 [hep-th/0008088].
28. K. Millar, W. Taylor and M.V. Raamsdonk, D-particle polarizations with multipole moments of higher-dimensional branes, hep-th/0007157.
29. 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].
30. K. Hashimoto and K. Krasnov, D-brane solutions in non-commutative gauge theory on fuzzy sphere, Phys. Rev. D 64 (2001) 046007 [hep-th/0101145].
31. J. Polchinski, Dirichlet-branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017].
32. J. Polchinski, Tasi lectures on D-branes, hep-th/9611050.
33. C.V. Johnson, D-brane primer, hep-th/0007170.
34. A.Y. Alekseev, A. Recknagel and V. Schomerus, Open strings and noncommutative geometry of branes on group manifolds, Mod. Phys. Lett. A 16 (2001) 325 [hep-th/0104054].
35. J. Pawelczyk and H. Steinacker, Matrix description of D-branes on 3-spheres, J. High Energy Phys. 12 (2001) 018 [hep-th/0107265].
36. G. Mandai, S.R. Wadia and K.P. Yogendran, to appear.
37. R. Dijkgraaf, E. Verlinde and H. Verlinde, C = 1 conformal field theories on riemann surfaces, Commun. Math. Phys. 115 (1988) 649.
38. J. Gomis, T. Mehen and M.B. Wise, Quantum field theories with compact noncommutative extra dimensions, J. High Energy Phys. 08 (2000) 029 [hep-th/0006160].
39. 5, J. High Energy Phys. 07 (2001) 041 [hep-th/0007067].
40. H. Grosse, M. Maceda, J. Madore and H. Steinacker, Fuzzy instantons, hep-th/0107068.