On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace

TL;DR

This paper investigates infrared divergences in 3d N=2 superspace Chern-Simons theories, specifically ABJM, proposing gauge-fixing methods to eliminate these divergences and discussing extensions to higher loops and other models.

Contribution

It introduces a gauge-fixing prescription to remove infrared divergences in N=2 superspace Chern-Simons theories, including ABJM, and discusses its applicability to higher loops and general models.

Findings

Identified the origin of infrared divergences in ABJM theory.

Proposed a gauge-fixing method to eliminate divergences.

Discussed extension of the method to higher loop orders.

Abstract

We discuss the problem of infrared divergences in the N=2 superspace approach to classically marginal three-dimensional Chern-Simons-matter theories. Considering the specific case of ABJM theory, we describe the origin of such divergences and offer a prescription to eliminate them by introducing non-trivial gauge-fixing terms in the action. We also comment on the extension of our procedure to higher loop order and to general three-dimensional Chern-Simons-matter models.