Supersymmetric space-time symmetry breaking sources

TL;DR

This paper develops new supersymmetric field theories with broken space-time symmetries, achieved through background couplings, preserving partial supersymmetry and exploring their conformal and holographic properties.

Contribution

It introduces novel deformations of supersymmetric theories that break space-time symmetries while maintaining some supersymmetry, using background multiplets and off-shell representations.

Findings

Construction of deformed supersymmetric theories with broken space-time symmetries.

Identification of backgrounds preserving superconformal symmetry with scale-invariant profiles.

Analysis of $ abla =2$ theories on $S^3$ and their relation to interface SCFTs and holography.

Abstract

We construct new families of deformed supersymmetric field theories which break space-time symmetries but preserve half of the original supersymmetry. We do this by writing deformations as couplings to background multiplets. In many cases it is important to use the off-shell representation as auxiliary fields of the non-dynamical fields must be turned on to preserve supersymmetry. We also consider backgrounds which preserve some superconformal symmetry, finding scale-invariant field profiles, as well as $\mathcal{N} =2$ theories on $S^3$. We discuss how this is related to previous work on interface SCFTs and other holographic calculations.