Abstract
We show how to expand the Lunin-Maldacena solution to the full bosonic sector of gauged \( \mathcal{N} \) = 2 supergravity. In particular, we construct a consistent truncation of IIB supergravity on a β-deformed AdS5 × S5 background retaining a dynamical metric and graviphoton in five dimensions. We comment on the relation between this solution and similar constructions on Sasaki-Einstein manifolds, as well as the possibility of further consistent truncations which generalize the Lunin-Maldacena solution.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys.B 447 (1995) 95 [hep-th/9503121] [INSPIRE].
M. Günaydin and N. Marcus, The Spectrum of the S5Compactification of the Chiral N = 2, D = 10 Supergravity and the Unitary Supermultiplets of U(2, 2/4), Class. Quant. Grav.2 (1985) L11 [INSPIRE].
H.J. Kim, L.J. Romans and P. van Nieuwenhuizen, The Mass Spectrum of Chiral N = 2 D = 10 Supergravity on S5 , Phys. Rev.D 32 (1985) 389 [INSPIRE].
O. Aharony, B. Kol and S. Yankielowicz, On exactly marginal deformations of \( \mathcal{N} \) = 4 SYM and type IIB supergravity on AdS5 × S5 , JHEP06 (2002) 039 [hep-th/0205090] [INSPIRE].
O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals, JHEP05 (2005) 033 [hep-th/0502086] [INSPIRE].
M.J. Duff and C.N. Pope, Consistent truncations in Kaluza-Klein theories, Nucl. Phys.B 255 (1985) 355 [INSPIRE].
J.P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev.D 76 (2007) 126007 [arXiv:0707.2315] [INSPIRE].
D. Berenstein, C.P. Herzog and I.R. Klebanov, Baryon spectra and AdS/CFT correspondence, JHEP06 (2002) 047 [hep-th/0202150] [INSPIRE].
A. Buchel and J.T. Liu, Gauged supergravity from type IIB string theory on Yp,qmanifolds, Nucl. Phys.B 771 (2007) 93 [hep-th/0608002] [INSPIRE].
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].
J.P. Gauntlett, E. O Colgain and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP02 (2007) 049 [hep-th/0611219] [INSPIRE].
D. Cassani, G. Josse, M. Petrini and D. Waldram, Systematics of consistent truncations from generalised geometry, JHEP11 (2019) 017 [arXiv:1907.06730] [INSPIRE].
D. Cassani, G. Dall’Agata and A.F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds, JHEP05 (2010) 094 [arXiv:1003.4283] [INSPIRE].
J.T. Liu, P. Szepietowski and Z. Zhao, Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds, Phys. Rev.D 81 (2010) 124028 [arXiv:1003.5374] [INSPIRE].
J.P. Gauntlett and O. Varela, Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions, JHEP06 (2010) 081 [arXiv:1003.5642] [INSPIRE].
K. Skenderis, M. Taylor and D. Tsimpis, A Consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure, JHEP06 (2010) 025 [arXiv:1003.5657] [INSPIRE].
S. Frolov, Lax pair for strings in Lunin-Maldacena background, JHEP05 (2005) 069 [hep-th/0503201] [INSPIRE].
I. Bakhmatov, E. Ó Colgáin, M.M. Sheikh-Jabbari and H. Yavartanoo, Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT), JHEP06 (2018) 161 [arXiv:1803.07498] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1905.06861
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Liu, J.T., McPeak, B. Gauged supergravity from the Lunin-Maldacena background. J. High Energ. Phys. 2020, 177 (2020). https://doi.org/10.1007/JHEP01(2020)177
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2020)177