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

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.

Automated summary

In this study, we examined Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature in the large N limit. Thermal correlators for both fermionic and bosonic matter were calculated separately. The results were computed in the large N 't Hooft limit for arbitrary values of the 't Hooft coupling. Furthermore, computations of the four-point function of fundamental scalars in the bosonic theory were extended to finite temperature, and consistency checks with existing results were performed, showing agreement in different limiting cases and supporting the conjectured bosonization duality.