SCFT deformations via uplifted solitons

TL;DR

This paper introduces a holographic method using soliton solutions in 5D gauged supergravity to deform 4D SCFTs, leading to new solutions that exhibit confinement and gapped phases in the IR.

Contribution

It presents a systematic way to generate supersymmetry-preserving deformations of 4D SCFTs via uplifted solitons in string theory backgrounds, expanding the toolkit for holographic duals.

Findings

Constructed new holographic solutions with twisted compactifications.

Provided evidence for confinement and gapped phases in deformed theories.

Method applicable to a broad class of holographic backgrounds.

Abstract

A holographic method for implementing a particular supersymmetry-preserving deformation to 4d SCFTs is presented. At the heart of the procedure is a soliton solution of minimal $d=5$ gauged supergravity. Embedding this solution into ten- and eleven-dimensional string theory backgrounds of the form AdS$_5 \times M$, we systematically construct a range of new solutions. Each holographically realizes a twisted compactification of the SCFT$_4$ dual to the original background. In the IR, the resulting SQFTs flow to gapped three-dimensional systems. Using a variety of holographic observables, we give evidence for this interpretation and for confinement in the deformed SQFTs. Our method applies to any holographic solutions admitting a consistent truncation to minimal $d=5$ gauged supergravity, and can likely be generalized to solutions with other AdS$_d$ factors.