# Effective Potential in the 3D Massive 2-form Gauge Superfield Theory

## TL;DR

This paper develops a massive superfield theory in 3D superspace involving a two-form gauge field and calculates its one-loop effective potential, demonstrating gauge-fixing independence.

## Contribution

It introduces a new massive superfield model with a two-form gauge field in 3D superspace and computes the one-loop effective potential explicitly.

## Key findings

- One-loop effective potential is gauge-fixing independent.
- The model includes a spinor gauge superfield with a two-form component.
- Explicit calculation of the effective potential in the proposed theory.

## Abstract

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we explicitly calculate the one-loop correction to the superfield effective potential. In particular, we show that the one-loop effective potential is independent the gauge-fixing parameters.