Eight Fermion Terms in the Effective Action of the ABJM Model

TL;DR

This paper analyzes eight fermion terms in the ABJM model's effective action, demonstrating supersymmetry's role in determining these terms and confirming non-renormalization properties at one loop.

Contribution

It classifies all eight fermion structures in the ABJM model and shows supersymmetry fully determines these terms up to a constant, confirming non-renormalization at one loop.

Findings

Non-renormalization of $v^2$ terms.

Supersymmetry determines all eight fermion structures.

Confirms one-loop non-renormalization of $v^4$ terms.

Abstract

We study eight fermion terms in the effective action of the ABJM model. We show the non-renormalization of $v^2$ terms. After classifying all the possible eight fermion structures, we show that $\mathcal{N}=6$ supersymmetry determines all these terms completely up to an overall constant. This confirms the one loop non-renormalization of $v^4$ terms.