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

We consider $3$-dimensional conformal field theories with $U(N)_κ$ 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 $λ= N/ κ$, 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.

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