Integrable $\lambda$-deformations: Squashing Coset CFTs and $AdS_5\times S^5$

TL;DR

This paper explores integrable lambda-deformations of coset conformal field theories, interpreting them as squashed sigma-models, and constructs supergravity solutions that interpolate between known AdS/CFT backgrounds and their non-Abelian T-duals.

Contribution

It provides a new geometric interpretation of lambda-deformations as squashed target spaces and constructs explicit supergravity solutions for the n=5 case, connecting different AdS/CFT backgrounds.

Findings

Lambda-deformations can be viewed as squashing transformations.

Constructed supergravity solutions for the n=5 case.

Interpolates between coset CFTs and non-Abelian T-duals of AdS5×S5.

Abstract

We examine integrable $\lambda$-deformations of $SO(n+1)/SO(n)$ coset CFTs and their analytic continuations. We provide an interpretation of the deformation as a squashing of the corresponding coset $\sigma$-model's target space. We realise the $\lambda$-deformation for $n=5$ case as a solution to supergravity supported by non-vanishing five-form and dilaton. This interpolates between the coset CFT $SO(4,2)/SO(4,1)\times SO(6)/SO(5)$ constructed as a gauged WZW model and the non-Abelian T-dual of the $AdS_5\times S^5$ spacetime.