Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications

TL;DR

This paper constructs smooth supergravity solutions describing supersymmetric RG flows from 4D SCFTs to 3D SQFTs, analyzing their properties and universal behaviors through holography.

Contribution

It provides explicit supergravity solutions for supersymmetric RG flows and detailed calculations of observables, revealing universal features of the dual field theories.

Findings

All UV fixed points flow to confining theories with a mass gap.

Computed observables show a universal factorization into UV and flow-dependent parts.

Holographic renormalization methods applied to type IIB solutions.

Abstract

This work, which accompanies [1], is about constructing smooth solutions in type II and eleven dimensional supergravity which describe supersymmetry preserving RG flows from four-dimensional SCFTs in the UV to three-dimensional SQFTs in the IR, through holography. We show that all the different UV fixed points flow to theories which confine external quarks and have a mass gap. We proceed by presenting extended calculations of a plethora of observables and analyse the dual field theories in great detail. This includes a boundary analysis and application of holographic renormalization methods in the simplest case of the type IIB solution. Many of the observables computed here have a universal behaviour: they factorize into two parts, one of which includes information about the UV SCFTs, and the other describing the dynamics of the RG flow, which is the same regardless of the UV fixed point.