Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities

TL;DR

This work generates a broad class of Type IIB supergravity backgrounds with warped $AdS_5$ factors by applying Abelian and Non-Abelian T-dualities to seed geometries $AdS_5\times S^5$, $AdS_5\times T^{1,1}$, and $AdS_5\times Y^{p,q}$. It provides explicit transformed NS-NS and RR fields, explores M-theory lifts, and analyzes Page charges and holographic central charges, showing that the central charge scales as $c\sim N_c^2$ but with shifts in the effective color count between pre- and post-duality frames. The paper also examines entanglement entropy, the frame-independence of central-charge densities, and the G-structure of NATD-T solutions, revealing orthogonal $SU(2)$-structures in several cases and identifying SUSY preservation conditions. A key outcome is the proposal of Seiberg-like dualities induced by large $B_2$ gauge transformations and the interpretation of $ ho$-translations as duality transformations, suggesting a generalized toric-duality-like structure for these conformal field theories. These results provide a framework to study dual CFT properties of new gravity backgrounds and point to rich connections between solution-generating techniques, charge quantization, and field-theory duals.

Abstract

We present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS${}_5$ 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 AdS${}_5\times X_5$ 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.

Figures (1)

• Figure 1: A schematic description of the supergravity solutions discussed in this manuscript and the properties of RR fluxes that are relevant for a field theory interpretation. The expression between parenthesis corresponds to the Page charges and their changes under a large gauge transformation of the B-field.