Explicit connection between conformal field theory and 2+1 Chern-Simons theory

TL;DR

This paper establishes explicit field theoretical representations linking 2+1 Chern-Simons theory with 2D WZW models, enabling computation of Wilson loop correlators and confirming known results.

Contribution

It provides a novel explicit connection between 2+1 Chern-Simons theory and 2D WZW fields, facilitating observable calculations.

Findings

Successfully reproduces known Wilson loop correlators

Provides explicit gauge-invariant composite representations

Validates the theoretical connection through computations

Abstract

We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators reobtaining known results.