Supersymmetry Breaking and Planar Free Energy in Chern-Simons-matter Theories

TL;DR

This paper explores the connection between zeros of the partition function and supersymmetry breaking in Chern-Simons-matter theories, confirming a conjecture through analysis of the free energy's analytic structure in the large N limit.

Contribution

It provides evidence linking partition function zeros to supersymmetry breaking by analyzing the free energy's branch points in large N Chern-Simons-matter theories.

Findings

Branch point in free energy at supersymmetry breaking threshold

Confirmation of Morita and Niarchos conjecture

Analytic structure reveals supersymmetry breaking conditions

Abstract

We investigate a relation between zeros of the partition function and supersymmetry breaking, conjectured by Morita and Niarchos, for a family of Chern-Simons-matter theories. We analyze the analytic structure of the free energy in the large $N$ limit derived from the resolvent of the corresponding matrix model. We find that a branch point exists at the value of the 't Hooft coupling above which supersymmetry is known to be broken, confirming the conjecture.