Nonabelian Generalized Gauge Multiplets

TL;DR

This paper extends N=(2,2) two-dimensional vector multiplets to nonabelian cases, enabling gauging of symmetries in sigma models on generalized Kahler geometries, with formulations in superspace.

Contribution

It introduces the nonabelian extension of N=(2,2) vector multiplets and formulates their actions in superspace, advancing the understanding of gauge symmetries in complex geometries.

Findings

Derived covariant derivatives and gauge covariant field-strengths.

Presented actions in N=(2,2) and N=(1,1) superspace.

Enabled gauging of symmetries in generalized Kahler geometries.

Abstract

We give the nonabelian extension of the newly discovered N = (2, 2) two-dimensional vector multiplets. These can be used to gauge symmetries of sigma models on generalized Kahler geometries. Starting from the transformation rule for the nonabelian case we find covariant derivatives and gauge covariant field-strengths and write their actions in N = (2, 2) and N = (1, 1) superspace.