Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs

TL;DR

This paper develops consistent truncations of supergravity to describe holographic RG flows in 4d SCFTs, providing explicit supergravity models and their string duals for strongly coupled theories deformed by various operators.

Contribution

It explicitly constructs truncated supergravity models and derives BPS equations, enabling the study of holographic RG flows for a broad class of 4d SCFTs with known string duals.

Findings

Explicit supergravity truncations for 4d SCFTs

BPS equations for simple RG flow configurations

String duals for flows deformed by marginal/relevant operators

Abstract

With the purpose of holographically describing flows from a large family of four dimensional ${\cal N}=1$ and ${\cal N}=2$ conformal field theories, we discuss truncations of seven dimensional supergravity to five dimensions. We write explicitly the reduced gauged supergravity and find BPS equations for simple configurations. Lifting these flows to eleven dimensions or Massive IIA supergravity, we present string duals to RG flows from strongly coupled conformal theories when deformed by marginal and/or relevant operators. We further discuss observables common to infinite families of ${\cal N}=1$ and ${\cal N}=2$ QFTs in this context.