Supersymmetric states of N = 4 Yang-Mills from giant gravitons

Journal of High Energy Physics

Volumn 2007, Issue 12, 2007, Pages

  Biswas, Indranil ^a   Gaiotto, Davide ^b   Lahiri, Subhaneil ^a,b   Minwalla, Shiraz ^a,b  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b HARVARD UNIVERSITY   (United States)

Author keywords

AdS CFT correspondence; D branes; Gauge gravity correspondence; Supersymmetry and duality

Indexed keywords

EID: 38049008925     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/12/006     Document Type: Article

References (80)

1. M.F. Sohnius and P.C. West, Conformal invariance in N = 4 supersymmetric Yang-Mills theory 1981 Phys. Lett. B 100 245
2. P.S. Howe, K.S. Stelle and P.K. Townsend, Miraculous ultraviolet cancellations in supersymmetry made manifest 1984 Nucl. Phys. B 236 125
3. L. Brink, O. Lindgren and B.E.W. Nilsson, N = 4 Yang-Mills theory on the light cone 1983 Nucl. Phys. B 212 401
4. N. Seiberg, Supersymmetry and nonperturbative β-functions 1988 Phys. Lett. B 206 75
5. C. Montonen and D.I. Olive, Magnetic monopoles as gauge particles? 1977 Phys. Lett. B 72 117
6. P. Goddard, J. Nuyts and D.I. Olive, Gauge theories and magnetic charge 1977 Nucl. Phys. B 125 1
7. H. Osborn, Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1 1979 Phys. Lett. B 83 321
8. A. Sen, Dyon - monopole bound states, selfdual harmonic forms on the multi - monopole moduli space and SL(2,) invariance in string theory, 1994 Phys. Lett. B 329 217 [hep-th/9402032]
9. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [1999 Int. J. Theor. Phys. 38 1113 ] [hep-th/9711200]
10. 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]
11. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
12. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9905111]
13. J.A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills 2003 J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
14. N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
15. N. Beisert, Higher-loop integrability in N = 4 gauge theory 2004 Comptes Rendus Physique 5 1039 [hep-th/0409147]
16. M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
17. N. Beisert, The SU(2|2) dynamic S-matrix, [hep-th/0511082]
18. 5 superstring worldsheet S-matrix and crossing symmetry 2006 Phys. Rev. D 73 086006 [hep-th/0603038]
19. F.A. Dolan and H. Osborn, On short and semi-short representations for four dimensional superconformal symmetry 2003 Ann. Phys. (NY) 307 41 [hep-th/0209056]
20. A.V. Ryzhov, Quarter BPS operators in N = 4 SYM 2001 J. High Energy Phys. JHEP11(2001)046 [hep-th/0109064]
21. E. D'Hoker, P. Heslop, P. Howe and A.V. Ryzhov, Systematics of quarter BPS operators in N = 4 SYM 2003 J. High Energy Phys. JHEP04(2003)038 [hep-th/0301104]
22. N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
23. J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, An index for 4 dimensional super conformal theories 2007 Comm. Math. Phys. 275 209 [hep-th/0510251]
24. R.C. Myers, Dielectric-branes 1999 J. High Energy Phys. JHEP12(1999)022 [hep-th/9910053]
25. J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space 2000 J. High Energy Phys. JHEP06(2000)008 [hep-th/0003075]
26. M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and Goliath 2000 J. High Energy Phys. JHEP08(2000)040 [hep-th/0008015]
27. A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual 2000 J. High Energy Phys. JHEP08(2000)051 [hep-th/0008016]
28. A. Mikhailov, Giant gravitons from holomorphic surfaces 2000 J. High Energy Phys. JHEP11(2000)027 [hep-th/0010206]
29. C.E. Beasley, BPS branes from baryons 2002 J. High Energy Phys. JHEP11(2002)015 [hep-th/0207125]
30. G. Mandal, Fermions from half-BPS supergravity 2005 J. High Energy Phys. JHEP08(2005)052 [hep-th/0502104]
31. 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]
32. L. Maoz and V.S. Rychkov, Geometry quantization from supergravity: the case of 'bubbling AdS' 2005 J. High Energy Phys. JHEP08(2005)096 [hep-th/0508059]
33. G. Mandal and N.V. Suryanarayana, Counting 1/8-BPS dual-giants 2007 J. High Energy Phys. JHEP03(2007)031 [hep-th/0606088]
34. S. Kim and K.-M. Lee, BPS electromagnetic waves on giant gravitons 2005 J. High Energy Phys. JHEP10(2005)111 [hep-th/0502007]
35. G. Mandal, S.R. Wadia and K. Yogendran, Topology change in fuzzy branes TIFR/TH/01-32, private communication
36. D. Berenstein, Large-N BPS states and emergent quantum gravity 2006 J. High Energy Phys. JHEP01(2006)125 [hep-th/0507203]
37. D. Berenstein and D.H. Correa, Emergent geometry from q-deformations of N = 4 super Yang-Mills 2006 J. High Energy Phys. JHEP08(2006)006 [hep-th/0511104]
38. D. Berenstein, D.H. Correa and S.E. Vazquez, All loop BMN state energies from matrices 2006 J. High Energy Phys. JHEP02(2006)048 [hep-th/0509015]
39. D. Berenstein and R. Cotta, Aspects of emergent geometry in the AdS/CFT context 2006 Phys. Rev. D 74 026006 [hep-th/0605220]
40. 5 black holes 2004 J. High Energy Phys. JHEP02(2004)006 [hep-th/0401042]
41. 5 black holes 2004 J. High Energy Phys. JHEP04(2004)048 [hep-th/0401129]
42. Z.W. Chong, M. Cvetic, H. Lü and C.N. Pope, Five-dimensional gauged supergravity black holes with independent rotation parameters 2005 Phys. Rev. D 72 041901 [hep-th/0505112]
43. Z.W. Chong, M. Cvetic, H. Lü and C.N. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity 2005 Phys. Rev. Lett. 95 161301 [hep-th/0506029]
44. 5 black holes 2006 J. High Energy Phys. JHEP04(2006)036 [hep-th/0601156]
45. 5 black holes 2007 J. High Energy Phys. JHEP01(2007)048 [hep-th/0604023]
46. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory. vol. 2. Loop amplitudes, anomalies and phenomenology (Cambridge University Press, Cambridge) U.K. (1987)
47. J.-P. Demailly, Complex analytic and differential geometry http://www-fourier.ujf-grenoble.fr/ demailly/books.html
48. C. Crnkovic and E. Witten, Covariant description of canonical formalism in geometrical theories in Three hundred years of gravitation S. Hawking and W. Israel eds., (Cambridge University Press, Cambridge) U.K. (1987)
49. G.J. Zuckerman, Action principles and global geometry in Mathematical aspects of string theory S.-T. Yau ed., (World Scientific) (1987)
50. J. Lee and R.M. Wald, Local symmetries and constraints 1990 J. Math. Phys. 31 725
51. J.W. Milnor, Lectures on the h-Cobordism theorem (Princeton University Press), Princeton U.S.A. (1965)
52. 3 2005 Phys. Rev. D 71 066008 [hep-th/0406121]
53. D. Gaiotto, A. Simons, A. Strominger and X. Yin, D0-branes in black hole attractors [hep-th/0412179]
54. D. Gaiotto, A. Strominger and X. Yin, Superconformal black hole quantum mechanics 2005 J. High Energy Phys. JHEP11(2005)017 [hep-th/0412322]
55. S.R. Das, A. Jevicki and S.D. Mathur, Giant gravitons, BPS bounds and noncommutativity 2001 Phys. Rev. D 63 044001 [hep-th/0008088]
56. A. Jevicki, M. Mihailescu and S. Ramgoolam, Hidden classical symmetry in quantum spaces at roots of unity: from q-sphere to fuzzy sphere [hep-th/0008186]
57. S.R. Das, A. Jevicki and S.D. Mathur, Vibration modes of giant gravitons 2001 Phys. Rev. D 63 024013 [hep-th/0009019]
58. P.-M. Ho, Fuzzy sphere from matrix model 2000 J. High Energy Phys. JHEP12(2000)015 [hep-th/0010165]
59. V. Balasubramanian, M. Berkooz, A. Naqvi and M.J. Strassler, Giant gravitons in conformal field theory 2002 J. High Energy Phys. JHEP04(2002)034 [hep-th/0107119]
60. 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]
61. V. Balasubramanian, M.-x. Huang, T.S. Levi and A. Naqvi, Open strings from N = 4 super Yang-Mills 2002 J. High Energy Phys. JHEP08(2002)037 [hep-th/0204196]
62. D. Berenstein, A toy model for the AdS/CFT correspondence 2004 J. High Energy Phys. JHEP07(2004)018 [hep-th/0403110]
63. H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries 2004 J. High Energy Phys. JHEP10(2004)025 [hep-th/0409174]
64. 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]
65. A. Dhar, G. Mandal and N.V. Suryanarayana, Exact operator bosonization of finite number of fermions in one space dimension 2006 J. High Energy Phys. JHEP01(2006)118 [hep-th/0509164]
66. A. Dhar, G. Mandal and M. Smedback, From gravitons to giants 2006 J. High Energy Phys. JHEP03(2006)031 [hep-th/0512312]
67. C.V. Johnson, A.W. Peet and J. Polchinski, Gauge theory and the excision of repulson singularities 2000 Phys. Rev. D 61 086001 [hep-th/9911161]
68. J.P. Gauntlett, D. Martelli, J.F. Sparks and D. Waldram, A new infinite class of Sasaki-Einstein manifolds 2006 Adv. Theor. Math. Phys. 8 987 [hep-th/0403038]
69. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS backgrounds in string and M-theory [hep-th/0411194]
70. D. Martelli and J. Sparks, Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals 2006 Comm. Math. Phys. 262 51 [hep-th/0411238]
71. S. Benvenuti, S. Franco, A. Hanany, D. Martelli and J. Sparks, An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals 2005 J. High Energy Phys. JHEP06(2005)064 [hep-th/0411264]
72. D. Martelli, J. Sparks and S.-T. Yau, The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds 2006 Comm. Math. Phys. 268 39 [hep-th/0503183]
73. 3 2005 Phys. Lett. B 621 208 [hep-th/0505027]
74. S. Benvenuti and M. Kruczenski, From Sasaki-Einstein spaces to quivers via BPS geodesics: L(p,q|r) 2006 J. High Energy Phys. JHEP04(2006)033 [hep-th/0505206]
75. S. Franco et al., Gauge theories from toric geometry and brane tilings 2006 J. High Energy Phys. JHEP01(2006)128 [hep-th/0505211]
76. A. Butti, D. Forcella and A. Zaffaroni, The dual superconformal theory for L(p,q,r) manifolds 2005 J. High Energy Phys. JHEP09(2005)018 [hep-th/0505220]
77. 5 solutions of type IIB supergravity 2006 Class. Quantum Grav. 23 4693 [hep-th/0510125]
78. D. Martelli, J. Sparks and S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation [hep-th/0603021]
79. N. Woodhouse, Geometric quantization Oxford U.K. (1980)
80. A. Echeverria-Enriquez, M.C. Mũoz-Lecanda, N. Roman-Roy and C. Victoria-Monge, Mathematical foundations of geometric quantization 1998 Extracta Math. 13 135 [math-ph/9904008]