Abstract
We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q . We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.
Highlights
In its most precise formulation, the AdS/CFT correspondence conjectures an equivalence between string theory in AdS5 × S5 with N units of Ramond-Ramond five-form flux and N = 4 supersymmetric Yang Mills with SU(N ) gauge group [1,2,3,4]
One intuitive entry in the AdS/CFT dictionary is how conformal invariance in the corresponding field theory is translated into an isometry of the metric in AdS5×X5: a rescaling of the radial direction in the AdS5 component of the metric corresponds to change in the energy scale of the field theory
The central role that the AdS5 component of space-time plays is that its SO(4, 2) isometry will dictate that aconformal field theory will be its dual
Summary
There has been a revival of NATD and in particular, the crucial extension to the Ramond-Ramond sector has been proposed [23, 24] This resurrected symmetry has already been used to generate solutions from various seed backgrounds in the context of the AdS/CFT correspondence [25,26,27,28,29,30,31,32,33,34,35,36]. In the work of Lunin and Maldacena [10], they generated a plethora of interesting solutions by performing a T-duality, followed by a shift in one of the coordinates, and followed by yet another T-duality (TsT) on gravity theories with U(1) × U(1) isometry Motivated by this procedure, we consider an NATD-s-T transformation as our backgrounds have SU(2) × U(1) isometry. We further discuss the gauge ambiguity that might arise in NATD and show how the previously mentioned solutions are parameterized in appendix B.2
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