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


الملخص بالإنكليزية

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 tHooft large $N$ limit and to all orders in the tHooft 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.

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