Holographic Evidence for Non-Supersymmetric Conformal Manifolds

TL;DR

This paper presents the first holographic evidence for a non-supersymmetric conformal manifold, constructed via exactly marginal deformations of a superconformal field theory, with demonstrated perturbative stability and protection against higher-derivative corrections.

Contribution

It constructs and analyzes a non-supersymmetric deformation of a superconformal background, providing evidence for a stable, non-supersymmetric conformal manifold in holography.

Findings

Constructed a 2-parameter non-supersymmetric deformation of a Type IIB background.

Proved the non-supersymmetric backgrounds are perturbatively stable.

Argued that diffeomorphism symmetry protects solutions from higher-derivative corrections.

Abstract

We provide the first holographic evidence for the existence of a non-supersymmetric conformal manifold arising from exactly marginal but supersymmetry-breaking deformations of a superconformal three-dimensional field theory. In particular, we construct a 2-parameter non-supersymmetric deformation of a supersymmetric AdS non-geometric background in Type IIB string theory. We prove that the non-supersymmetric backgrounds are perturbatively stable and also do not suffer from various non-perturbative instabilities. Finally, we argue that diffeomorphism symmetry protects our solutions against higher-derivative string corrections.