Charting the Conformal Manifold of Holographic CFT$_2$'s

TL;DR

This paper constructs new continuous families of AdS3 solutions in supergravity, explores their stability and holographic interpretations, and introduces a unified approach using Exceptional Field Theory to analyze deformations.

Contribution

It develops a unified method using Exceptional Field Theory to construct and analyze continuous families of AdS3 solutions with multiple parameters in supergravity.

Findings

Constructed new AdS3 solutions with 17 parameters.

Computed Kaluza-Klein spectra to test stability.

Provided holographic and worldsheet interpretations.

Abstract

We construct new continuous families of ${\rm AdS}_3\times S^3\times {\rm T}^4$ and ${\rm AdS}_3\times S^3\times S^3\times S^1$ solutions in heterotic and type II supergravities. These families are found in three-dimensional consistent truncations and controlled by 17 parameters, which include TsT $\beta$ deformations and encompass several supersymmetric sub-families. The different uplifts are constructed in a unified fashion by means of Exceptional Field Theory (ExFT). This allows the computation of the Kaluza-Klein spectra around the deformations, to test the stability of the solutions, and to interpret them holographically and as worldsheet models. To achieve this, we describe how the half-maximal ${\rm SO}(8,8)$ ExFT can be embedded into ${\rm E}_{8(8)}$ ExFT.