Explicit Computation of 4-point Correlators in Chern-Simons Matter Theory and Verification of Bosonisation Dualities

Abstract

Chern-Simons theory is a special class of Conformal Field Theory. It possesses various interesting duality relations. These relations, or more accurately, these bosonisation duality relations connect the correlators of two different theory, namely the free fermionic Chern-Simons theory and critical bosonic Chern-Simons theory. These two theories are dual to each other. The correlators in these theories are calculated in the large N limit, up to all orders at the t' Hooft coupling. These expressions for the correlators can be derived from the free theories. Here, the verification of such duality relations are performed.