Partially Supersymmetric ABJM Theory with Flux

TL;DR

This paper constructs partially supersymmetric mass-deformed ABJM theories with flux, explores their Higgsing to SYM theories, and classifies related three-dimensional mass-deformed SYM theories with various supersymmetries.

Contribution

It introduces new mass-deformed ABJM models with flux and analyzes their connections to SYM theories via Higgsing and dimensional reduction.

Findings

Mass-deformed theories with ${ m N}=2,4$ supersymmetry derived from flux couplings.

Higgsing procedure connects ABJM theories to 3D mass-deformed SYM theories.

Classification of 3D mass-deformed SYM theories with ${ m N}=1,2,4$ supersymmetry.

Abstract

Starting with generic Wess-Zumino type coupling to constant four-form and the dual seven-form field strengths in the ABJM theory, we obtain mass-deformed theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing procedure. Using this procedure, we connect the Higgsed theories to three-dimensional mass-deformed SYM theories. These are also connected by the four-dimensional ${\cal N}=1^*,2^*$ mass-deformed SYM theories through dimensional reduction. We classify the three-dimensional mass-deformed SYM theories of ${\cal N}=1,2,4$ supersymmetry, of which a few cases of ${\cal N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional reduction.