On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories

TL;DR

This paper explicitly formulates the Lagrangian and supersymmetry transformations of mass-deformed Gaiotto-Tomasiello theories, revealing additional supersymmetry and analyzing their classical vacua, with comparisons to ABJM theory.

Contribution

It provides explicit component field formulations and identifies maximal supersymmetry-preserving mass deformations in GT theories.

Findings

Explicit Lagrangian and supersymmetry rules derived.

Additional ${ m N}=1$ supersymmetry verified in ${ m N}=3$ GT theory.

Classical supersymmetric discrete vacua identified and compared with ABJM.

Abstract

We write explicit Lagrangian and supersymmetry transformation rules using the component fields in the ${\cal N}=2,3$ GT theories. In the component field expansion, the manifestation of an additional ${\cal N}=1$ supersymmetry is verified in the ${\cal N}=3$ GT theory. We find maximal supersymmetry preserving mass-deformation of the GT theories and their classical supersymmetric discrete vacua. Some interesting aspects of the set of discrete vacua are discussed in comparison with the ABJM case.