On N = 2 superfield for N = 2 vector supermultiplet in two dimensional spacetime

TL;DR

This paper develops a superfield formulation for N=2 vector supermultiplets in two-dimensional spacetime, demonstrating gauge compatibility and constructing invariant interaction terms.

Contribution

It provides an explicit superfield formulation for N=2 vector supermultiplets, including gauge conditions and interaction terms, in two-dimensional spacetime.

Findings

Wess-Zumino gauge is compatible with SUSY transformations

Constructed SUSY invariant mass and Yukawa interactions

Presented explicit superfield kinetic action

Abstract

We focus on the superfield formulation for a N = 2 vector supermultiplet in two dimensional spacetime and explicitly show that the Wess-Zumino gauge condition for a N = 2 superfield is compatible with familiar SUSY (plus U(1) gauge) transformations for the vector supermultiplet. N = 2 SUSY invariant mass and Yukawa interaction terms for the vector supermultiplet are also constructed from the superfield explicitly in addition to a free (kinetic) action.