Supergravity realisations of $\lambda$-models

TL;DR

This paper constructs type-II supergravity solutions based on $$-deformed coset CFTs, linking $$-deformations to AdS/CFT and exploring parameter constraints.

Contribution

It extends previous work by constructing new supergravity solutions with $$-deformed coset models and analyzing their parameter space and limits.

Findings

Solutions contain undeformed AdS factors, connecting $$-deformations to AdS/CFT.

Reality conditions impose bounds on the deformation parameter, excluding some limits.

Extends earlier results by constructing multi-copy and mixed $$-deformed geometries.

Abstract

We construct solutions of type-II supergravity based on multiple copies and/or mixings of $\lambda$-deformed coset CFTs on $\mathrm{SO}(n+1)_k/\mathrm{SO}(n)_k$, with $n = 2, 3, 4$. The resulting ten-dimensional geometries contain undeformed $\mathrm{AdS}$ factors, thereby allowing a connection between $\lambda$-deformations and the AdS/CFT correspondence. Imposing reality conditions on the solutions further constrains the deformation parameter. In some cases these bounds exclude the undeformed ($\lambda = 0$) or non-Abelian T-dual ($\lambda \to 1$) limits. This work extends the results of 1911.12371 and 2411.11086.