Gauging Yang-Mills Symmetries In 1+1-Dimensional Spacetime

TL;DR

This paper systematically analyzes various types of minimal coupling of Yang-Mills symmetries in 1+1-dimensional supersymmetric spacetime, revealing novel gauge superfield types and their coupling properties.

Contribution

It introduces a comprehensive classification of minimal coupling types and gauge superfields in 1+1D supersymmetric Yang-Mills theories, highlighting novel gauge structures.

Findings

Multiple distinct types of gauge (super)fields identified.

Certain constrained superfields do not couple to any gauge superfield.

Some superfields couple universally, others only selectively.

Abstract

We present a systematic and 'from the ground up' analysis of the 'minimal coupling' type of gauging of Yang-Mills symmetries in (2,2)-supersymmetric 1+1-dimensional spacetime. Unlike in the familiar 3+1-dimensional N=1 supersymmetric case, we find several distinct types of minimal coupling symmetry gauging, and so several distinct types of gauge (super)fields, some of which entirely novel. Also, we find that certain (quartoid) constrained superfields can couple to no gauge superfield at all, others (haploid ones) can couple only very selectively, while still others (non-minimal, i.e., linear ones) couple universally to all gauge superfields.