Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry

TL;DR

This paper investigates the large N behavior of a 3D supersymmetric Chern-Simons-matter model, revealing a phase transition where superconformal symmetry is broken and masses are generated.

Contribution

It demonstrates the existence of two distinct phases in the large N limit, including a superconformal phase and a symmetry-breaking phase with mass generation.

Findings

Two phases identified: conformally invariant and symmetry-broken.

Superconformal symmetry is broken in one phase, leading to mass generation.

Large N limit analysis clarifies phase structure of the model.

Abstract

In this work we study some properties of the three dimensional $U(N)$ SUSY Chern-Simons coupled to a scalar field in the fundamental representation in the large $N$ limit. For large $N$ we show that the theory has two phases, one which is conformally invariant, and other where the superconformal symmetry is broken and masses for the matter fields are generated.