Thermal Correlators and Bosonization Dualities in Large $N$ Chern Simons Matter Theories

TL;DR

This paper computes thermal two-point functions of key operators in large N Chern-Simons matter theories, providing evidence for bosonization dualities at finite temperature.

Contribution

It offers all-order large N calculations of thermal correlators for scalar, current, and stress tensor operators, testing bosonization dualities in 3D CFTs.

Findings

Computed thermal correlators for scalar, current, and stress tensor operators.

Provided evidence supporting bosonization dualities at finite temperature.

Performed calculations to all orders in the t'Hooft coupling.

Abstract

We consider $3$-dimensional conformal field theories with $U(N)_{\kappa}$ Chern Simons gauge fields coupled to bosonic and fermionic matter fields transforming in the fundamental representation of the gauge group. In these CFTs, we compute in the t'Hooft large $N$ limit and to all orders in the t'Hooft coupling $\lambda= N/ \kappa$, the thermal two-point correlation functions of the spin $s=0$, $s=1$ and $s=2$ gauge invariant conformal primary operators. These are the lowest dimension single trace scalar, the $U(1)$ current and the stress tensor operators respectively. Our results furnish additional tests of the conjectured bosonization dualities in these theories at finite temperature.