On non-supersymmetric stable marginal deformations in AdS$_3$/CFT$_2$

TL;DR

This paper identifies a family of non-supersymmetric AdS3 vacua in string theory with stable spectra, providing the first example of a non-supersymmetric holographic conformal manifold in two dimensions.

Contribution

It constructs and analyzes a continuous family of stable, non-supersymmetric AdS3 backgrounds with fully computed spectra, advancing the understanding of non-supersymmetric holography.

Findings

The vacua are free from instabilities.

The family is protected against certain decay channels.

Operators corresponding to deformations are identified in CFTs.

Abstract

We discuss a continuous family of non-supersymmetric AdS$_3\times S^3\times{\rm T^4}$ vacua in heterotic and type II supergravities whose complete Kaluza-Klein spectrum is computed and found to be free from instabilities. This family is protected as well against some non-perturbative decay channels, and as such it provides the first candidate for a non-supersymmetric holographic conformal manifold in 2$d$. We also describe the operators realising the deformations in the worldsheet and boundary CFT's.