AdS solutions and $\lambda$-deformations

TL;DR

This paper constructs new type-II supergravity backgrounds incorporating $ ext{AdS}_n$ spaces with $ ext{lambda}$-deformations, linking integrable models with the AdS/CFT correspondence and exploring their dualities.

Contribution

It presents the first explicit supergravity solutions with $ ext{lambda}$-deformed $ ext{AdS}$ spaces, expanding the connection between integrable models and holography.

Findings

Constructed supergravity backgrounds with $ ext{AdS}_n$ and $ ext{lambda}$-deformations.

Most solutions admit non-Abelian T-dual limits.

First examples of $ ext{lambda}$-deformations in supergravity contexts.

Abstract

We elevate $\lambda$-deformed $\sigma$-models into full type-II supergravity backgrounds. We construct several solutions which contain undeformed $AdS_n$ spaces, with $n=2,3,4$ and $6$, as an integrable part. In that respect, our examples are the first in the literature in this context and bring $\lambda$-deformations in contact with the AdS/CFT correspondence. The geometries are supported by appropriate dilaton and RR-fields. Most of the solutions admit non-Abelian T-dual limits.