Supersymmetric AdS_7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs

TL;DR

This paper classifies supersymmetric AdS_7 backgrounds in seven-dimensional supergravity and finds no supersymmetric marginal operators in the dual (1,0) SCFTs, highlighting a strong correspondence between gravity solutions and field theory deformations.

Contribution

It provides a complete classification of supersymmetric AdS_7 backgrounds in half-maximal supergravity and demonstrates the absence of supersymmetric marginal operators in the dual SCFTs.

Findings

No supersymmetric deformations of AdS_7 backgrounds that preserve all supercharges.

The conformal manifold of the dual (1,0) SCFTs is trivial with no supersymmetric marginal operators.

The representation theory of the SCFT aligns with the supergravity analysis, confirming the rigidity of these backgrounds.

Abstract

We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.