Thermal correlators and bosonization dualities in large N Chern-Simons matter theories

Abstract

Abstract 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.

Keywords

• 1/N Expansion
• Chern-Simons Theories
• Thermal Field Theory
• Scale and Conformal Symmetries