On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter

TL;DR

This paper investigates thermal correlators in Chern-Simons theories with massive matter at finite temperature, providing new computations that support the bosonization duality in three-dimensional gauge theories.

Contribution

It extends the calculation of thermal correlators to finite temperature for both fermionic and bosonic matter in Chern-Simons theories, confirming the bosonization duality.

Findings

Computed thermal correlators for fermionic and bosonic matter at finite temperature.

Generalized four-point scalar correlator computations to finite temperature.

Results agree with previous limits and support the bosonization duality.

Abstract

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter separately. The results are computed in the large $N$ 't Hooft limit but for arbitrary values of the 't Hooft coupling. Furthermore, we generalize the computations of the four-point function of fundamental scalars in the bosonic theory to finite temperature. As a consistency check, we see that the results obtained here agree with the existing previous results in different limiting cases. Moreover, we check that the results are consistent with the conjectured bosonization duality, providing an additional evidence of it.