Geometry quantization from supergravity: The case of "bubbling AdS"

Journal of High Energy Physics

Volumn , Issue 8, 2005, Pages 2431-2470

  Maoz, Liat ^a   Rychkov, Vyacheslav S ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

AdS CFT and dS CFT Correspondence; Black Holes in String Theory; Models of Quantum Gravity; Supergravity Models

Indexed keywords

EID: 24944455382     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/08/096     Document Type: Article

References (51)

1. H. Lin, O. Lunin and J. Maldacena, Bubbling AdS space and 1/2 BPS geometries 2004 J. High Energy Phys. JHEP10(2004)025 [hep-th/0409174]
2. L. Grant, L. Maoz, J. Marsano, K. Papadodimas and V.S. Rychkov, Minisuperspace quantization of 'bubbling AdS' and free fermion droplets 2005 J. High Energy Phys. JHEP08(2005)025 [hep-th/0505079]
3. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
4. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
5. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
6. C.W. Misner, Minisuperspace, in Magic without magic: John Archibald wheeler J.R. Klauder ed., Freeman, San Francisco, 1972, p. 441
7. G. Mandal, Fermions from half-BPS supergravity [hep-th/0502104]
8. B.C. Palmer and D. Marolf, Counting supertubes 2004 J. High Energy Phys. JHEP06(2004)028 [hep-th/0403025]
9. S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N ≤ 4 SYM theory 2002 Adv. Theor. Math. Phys. 5 809 [hep-th/0111222]
10. D. Berenstein, A toy model for the AdS/CFT correspondence 2004 J. High Energy Phys. JHEP07(2004)018 [hep-th/0403110]
11. C. Crnkovic and E. Witten, Covariant description of canonical formalism in geometrical theories in Three hundred years of gravitation S.W. Hawking and W. Israel eds., (Cambridge University Press), 1987, p. 676
12. G.J. Zuckerman, Action principles and global geometry in Mathematical aspects of string theory San Diego 1986, Proceedings, S.T. Yau ed., Worls Scientific, 1987, p. 259
13. O. Lunin, J. Maldacena and L. Maoz, Gravity solutions for the D1-D5 system with angular momentum [hep-th/0212210]
14. See S.D. Mathur, The fuzzball proposal for black holes: an elementary review 2005 Fortschr. Phys. 53 793 [hep-th/0502050]
15. M. Taylor, General 2 charge geometries [hep-th/0507223]
16. n [hep-th/0412043]
17. 3 2005 J. High Energy Phys. JHEP02(2005)048 [hep-th/0412136]
18. J.T. Liu and D. Vaman, Bubbling 1/2 BPS solutions of minimal six-dimensional supergravity [hep-th/0412242]
19. Z.W. Chong, H. Lu and C.N. Pope, BPS geometries and AdS bubbles 2005 Phys. Lett. B 614 96 [hep-th/0412221]
20. O. Lunin, Adding momentum to D1-D5 system 2004 J. High Energy Phys. JHEP04(2004)054 [hep-th/0404006]
21. S. Giusto, S.D. Mathur and A. Saxena, Dual geometries for a set of 3-charge microstates 2004 Nucl. Phys. B 701 357 [hep-th/0405017]
22. S. Giusto, S.D. Mathur and A. Saxena, 3-charge geometries and their CFT duals 2005 Nucl. Phys. B 710 425 [hep-th/0406103]
23. I. Bena and P. Kraus, Microstates of the D1-D5-KK system 2005 Phys. Rev. D 72 025007 [hep-th/0503053]
24. I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes [hep-th/0505166]
25. I. Bena and N.P. Warner, One ring to rule them all ... and in the darkness bind them? [hep-th/0408106]
26. S. Giusto and S.D. Mathur, Geometry of D1-D5-P bound states [hep-th/0409067]
27. I. Bena and P. Kraus, Three charge supertubes and black hole hair 2004 Phys. Rev. D 70 046003 [hep-th/0402144]
28. D. Bak, Y. Hyakutake, S. Kim and N. Ohta, A geometric look on the microstates of supertubes 2005 Nucl. Phys. B 712 115 [hep-th/0407253]
29. H. Elvang, R. Emparan, D. Mateos and H.S. Reall, Supersymmetric black rings and three-charge supertubes 2005 Phys. Rev. D 71 024033 [hep-th/0408120]
30. I. Bena and P. Kraus, Microscopic description of black rings in AdS/CFT 2004 J. High Energy Phys. JHEP12(2004)070 [hep-th/0408186]
31. R. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity in Gravitation: an introduction to current research L. Witten ed., Wiley 1962, p. 227, [gr-qc/0405109]
32. J. Lee and R.M. Wald, Local symmetries and constraints 1990 J. Math. Phys. 31 725
33. G.W. Gibbons and S.W. Hawking, Action integrals and partition functions in quantum gravity 1977 Phys. Rev. D 15 2752
34. L.D. Landau and E.M. Lifshitz, The classical theory of fields Butterworth-Heinemann, 1980
35. V.I. Arnold, Mathematical methods of classical mechanics Springer, 1997
36. K. Kuchar, Canonical quantization of cylindrical gravitational waves 1971 Phys. Rev. D 4 955
37. G.A. Mena Marugán and M. Montejo, Quantization of pure gravitational plane waves 1998 Phys. Rev. D 58 104017 [gr-qc/9806105]
38. N.S. Manton, A remark on the scattering of BPS monopoles 1982 Phys. Lett. B 110 54
39. M.F. Atiyah and N.J. Hitchin, Low-energy scattering of nonabelian monopoles 1985 Phys. Lett. A 107 21
40. G.W. Gibbons and P.J. Ruback, The motion of extreme Reissner-Nordstrom black holes in the low velocity limit 1986 Phys. Rev. Lett. 57 1492
41. R.C. Ferrell and D.M. Eardley, Slow motion scattering and coalescence of maximally charged black holes 1987 Phys. Rev. Lett. 59 1617
42. S.-M. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in D ≤ 4, N ≤ 4 SYM at large-N 1998 Adv. Theor. Math. Phys. 2 697 [hep-th/9806074]
43. 5 1985 Phys. Rev. D 32 389
44. R.R. Metsaev and A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background 2002 Phys. Rev. D 65 126004 [hep-th/0202109]
45. K.V. Kuchar and M.P. Ryan, Can mini superspace quantization be justified? in Gravitational collapse and relativity Kyoto 1986, Proceedings, H. Sato and T. Nakamura eds., (World Scientific, Singapore), 1986, p. 451
46. K.V. Kuchar and M.P. Ryan, Is minisuperspace quantization valid?: taub in mixmaster 1989 Phys. Rev. D 40 3982
47. X.G. Wen, Topological orders and Edge excitations in FQH states [cond-mat/9506066]
48. A.P. Polychronakos, Chiral actions from phase space (quantum Hall) droplets 2005 Nucl. Phys. B 705 457 [hep-th/0408194]
49. A. Dhar, Bosonization of non-relativstic fermions in 2-dimensions and collective field theory 2005 J. High Energy Phys. JHEP07(2005)064 [hep-th/0505084]
50. L. Maoz, V.S. Rychkov and A. Shomer, in progress
51. B. de Wit, H. Samtleben and M. Trigiante, Magnetic charges in local field theory [hep-th/0507289]