A superspace gauge-invariant formulation of a massive tridimensional 2-form field

TL;DR

This paper develops a superspace gauge-invariant formulation for a massive 2-form field in three dimensions, introducing a new topological term and exploring supersymmetry properties.

Contribution

It constructs a supersymmetric massive antisymmetric tensor gauge theory in (2+1) dimensions using superspace and topological terms, with an analysis of supersymmetry features.

Findings

Introduction of a new topological term for mass generation

Equivalence between different massive models suggested

Component analysis reveals a second supersymmetry

Abstract

By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a manifestly N=1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a new topological term is used to give mass for the Kalb-Ramond field. We have introduced a massive gauge invariant model using the Stuckelberg formalism and an abelian topologically massive theory for the Kalb-Ramond superfield. An equivalence of both massive models is suggested. Further, a component field analysis is performed, showing a second supersymmetry in the model.