On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality

TL;DR

This paper investigates the effects of non-abelian T-duality on AdS${}_5$ backgrounds in type IIA supergravity, producing new solutions and exploring implications for dual conformal field theories.

Contribution

It introduces new type IIB backgrounds obtained via non-abelian T-duality and analyzes their impact on dual CFTs, expanding the understanding of dualities in string theory.

Findings

Derived a new type IIB background from AdS${}_5$ in type IIA.

Connected non-abelian T-duals of various AdS backgrounds.

Discussed implications for dual conformal field theories.

Abstract

We consider the action of a non-abelian T-duality on backgrounds with an AdS${}_5$ factor in type IIA supergravity, finding a new type IIB background, as well as the non-abelian T-dual of a domain wall solution which has as limits the non-abelian T-dual of $AdS_5\times T^{1,1}$ and the non-abelian T-dual of $AdS_3\times \mathbb{R}^2\times S^2\times S^3$. We explore some consequences of non-abelian T-duality for the dual conformal field theories.