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Couzens, Christopher

Supersymmetric \(AdS_{5}\) solutions of type IIB supergravity without D3 branes. (English) Zbl 1373.83117

J. High Energy Phys. 2017, No. 1, Paper No. 41, 28 p. (2017).
Summary: We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (\(AdS_{5}\)) with a five-dimensional Riemannian manifold \(M_{5}\), where the five-form flux vanishes, while all remaining fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. This completes the program of classifying all supersymmetric solutions of ten and eleven-dimensional supergravity with an \(AdS_{5}\) factor. We investigate the supersymmetry conditions in some special cases, and demonstrate how these are satisfied by a solution originally found in [N. T. Macpherson, C. Núnez, L. A. Pando Zayas, V. G. J. Rodgers and C. A. Whiting, “Type IIB supergravity solutions with \(AdS_{5}\) from abelian and non-abelian T dualities”, J. High Energy Phys. 2015, No. 2, Paper No. 40, 56 p. (2015; doi:10.1007/JHEP02(2015)040)], utilising the method of non-abelian T-duality.

Cited in 7 Documents

MSC:

83E50 Supergravity
83C15 Exact solutions to problems in general relativity and gravitational theory
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

Keywords:

AdS-CFT correspondence; supergravity models
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\textit{C. Couzens}, J. High Energy Phys. 2017, No. 1, Paper No. 41, 28 p. (2017; Zbl 1373.83117)
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References:

[1] J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [hep-th/9711200] [INSPIRE]. · Zbl 0969.81047
[2] J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS5solutions of type IIB supergravity, Class. Quant. Grav.23 (2006) 4693 [hep-th/0510125] [INSPIRE]. · Zbl 1096.83069
[3] F. Apruzzi, M. Fazzi, A. Passias and A. Tomasiello, Supersymmetric AdS5solutions of massive IIA supergravity, JHEP06 (2015) 195 [arXiv:1502.06620] [INSPIRE]. · Zbl 1388.83723
[4] J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS5solutions of M-theory, Class. Quant. Grav.21 (2004) 4335 [hep-th/0402153] [INSPIRE]. · Zbl 1059.83038
[5] H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP10 (2004) 025 [hep-th/0409174] [INSPIRE].
[6] E. O Colgain, J.-B. Wu and H. Yavartanoo, On the generality of the LLM geometries in M-theory, JHEP04 (2011) 002 [arXiv:1010.5982] [INSPIRE]. · Zbl 1250.81088
[7] E. O Colgain and B. Stefanski Jr., A search for AdS5 × S2IIB supergravity solutions dual to N = 2 SCFTs, JHEP10 (2011) 061 [arXiv:1107.5763] [INSPIRE]. · Zbl 1303.81132
[8] J.B. Gutowski and G. Papadopoulos, Supersymmetry of AdS and flat backgrounds in M-theory, JHEP02 (2015) 145 [arXiv:1407.5652] [INSPIRE]. · Zbl 1388.83816
[9] S.W. Beck, J.B. Gutowski and G. Papadopoulos, Supersymmetry of AdS and flat IIB backgrounds, JHEP02 (2015) 020 [arXiv:1410.3431] [INSPIRE]. · Zbl 1388.83733
[10] S. Beck, J.B. Gutowski and G. Papadopoulos, Supersymmetry of IIA warped flux AdS and flat backgrounds, JHEP09 (2015) 135 [arXiv:1501.07620] [INSPIRE]. · Zbl 1388.83735
[11] J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, AdS spacetimes from wrapped M 5 branes, JHEP11 (2006) 053 [hep-th/0605146] [INSPIRE]. · Zbl 1117.83374
[12] M. Gabella, D. Martelli, A. Passias and J. Sparks, \[N \mathcal{N} = 2\] supersymmetric AdS4solutions of M-theory, Commun. Math. Phys.325 (2014) 487 [arXiv:1207.3082] [INSPIRE]. · Zbl 1282.83010
[13] N.T. Macpherson, C. Núnez, L.A. Pando Zayas, V.G.J. Rodgers and C.A. Whiting, Type IIB supergravity solutions with AdS5from abelian and non-abelian T dualities, JHEP02 (2015) 040 [arXiv:1410.2650] [INSPIRE]. · Zbl 1387.83113
[14] M. Gabella, J.P. Gauntlett, E. Palti, J. Sparks and D. Waldram, AdS5solutions of type IIB supergravity and generalized complex geometry, Commun. Math. Phys.299 (2010) 365 [arXiv:0906.4109] [INSPIRE]. · Zbl 1197.83108
[15] K. Pilch and N.P. Warner, A new supersymmetric compactification of chiral IIB supergravity, Phys. Lett.B 487 (2000) 22 [hep-th/0002192] [INSPIRE]. · Zbl 1050.81689
[16] Y. Lozano and C. Núñez, Field theory aspects of non-abelian T-duality andN \[\mathcal{N} = 2\] linear quivers, JHEP05 (2016) 107 [arXiv:1603.04440] [INSPIRE]. · Zbl 1388.83299
[17] A. Ashmore, M. Petrini and D. Waldram, The exceptional generalised geometry of supersymmetric AdS flux backgrounds, JHEP12 (2016) 146 [arXiv:1602.02158] [INSPIRE]. · Zbl 1390.81558
[18] T.H. Buscher, A symmetry of the string background field equations, Phys. Lett.B 194 (1987) 59 [INSPIRE].
[19] E. Bergshoeff, C.M. Hull and T. Ortín, Duality in the type-II superstring effective action, Nucl. Phys.B 451 (1995) 547 [hep-th/9504081] [INSPIRE]. · Zbl 0925.81147
[20] S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys.B 568 (2000) 145 [hep-th/9907152] [INSPIRE]. · Zbl 0951.81045
[21] X.C. de la Ossa and F. Quevedo, Duality symmetries from nonAbelian isometries in string theory, Nucl. Phys.B 403 (1993) 377 [hep-th/9210021] [INSPIRE]. · Zbl 1030.81513
[22] G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, Non-abelian T-duality and the AdS/CFT correspondence:new N = 1 backgrounds, Nucl. Phys.B 873 (2013) 1 [arXiv:1301.6755] [INSPIRE]. · Zbl 1282.81147
[23] K. Sfetsos and D.C. Thompson, On non-abelian T-dual geometries with Ramond fluxes, Nucl. Phys.B 846 (2011) 21 [arXiv:1012.1320] [INSPIRE]. · Zbl 1208.81173
[24] O. Kelekci, Y. Lozano, N.T. Macpherson and E. Ó. Colgáin, Supersymmetry and non-Abelian T-duality in type-II supergravity, Class. Quant. Grav.32 (2015) 035014 [arXiv:1409.7406] [INSPIRE]. · Zbl 1312.83033
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