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

TL;DR

This paper constructs new warped AdS${}_5$ solutions in type IIB supergravity using Abelian and non-Abelian T-duality transformations on known backgrounds, exploring their properties and implications for dual superconformal field theories.

Contribution

It introduces a broad class of novel AdS${}_5$ solutions generated via T-duality, addressing charge quantization and dual CFT characteristics.

Findings

New warped AdS${}_5$ backgrounds without five-form flux.

Insights into charge quantization in non-Abelian T-duality.

Holographic analysis of dual superconformal field theories.

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.