Holographic description of SCFT$_5$ compactifications

TL;DR

This paper constructs new supersymmetric Type IIB backgrounds with AdS factors, describing lower-dimensional SCFTs from 5D theories compactified on hyperbolic spaces, and explores their holographic flows and SUSY breaking solutions.

Contribution

It introduces three infinite families of holographic backgrounds dual to SCFTs in 3, 2, and 1 dimensions, derived from 5D SCFT compactifications, including SUSY breaking models.

Findings

Explicit holographic flows across dimensions are computed.

Field theory observables are analyzed at fixed points and along flows.

A family of SUSY breaking backgrounds dual to QCD-like theories is discussed.

Abstract

We present three infinite families of supersymmetric Type IIB backgrounds with AdS$_4$, AdS$_3$ and AdS$_2$ factors, dual to SCFTs in $3$, $2$ and $1$ space-time dimensions respectively. These field theories emerge at low energies, after a twisted compactification of a family of five dimensional ${\cal N}=2$ SCFTs on hyperbolic spaces. The holographic flows across dimensions are explicitly computed. We also discuss a family of SUSY breaking backgrounds, dual to a QCD-like quiver with massive (bi)fundamental matter. Some field theoretical observables are computed for these theories at the fixed points and along the flow.