Gauss Law Constraints in Chern-Simons Theory From BRST Quantization

TL;DR

This paper derives Gauss law constraints in Chern-Simons theory using BRST quantization, elucidating the connection with 2D conformal field theory through Wilson loops.

Contribution

It introduces a method to derive Gauss law constraints in Chern-Simons theory with Wilson loops via BRST quantization, linking it to conformal field theory.

Findings

Gauss law constraints are explicitly derived in the presence of Wilson loops.

The connection between Chern-Simons theory and 2D conformal field theory is clarified.

BRST quantization provides a systematic approach to these constraints.

Abstract

The physical state condition in the BRST quantization of Chern-Simons field theory is used to derive Gauss law constraints in the presence of Wilson loops, which play an important role in explicitly establishing the connection of Chern-Simons field theory with 2-dimensional conformal field theory.