Handle Operators in R.C.F.T

TL;DR

This paper presents universal formulas for the inverse handle operator in the ring of fusions related to group or coset R.C.F.T., connecting it to the quantization of Chern-Simons theory.

Contribution

It introduces simple universal formulas for the inverse handle operator in R.C.F.T. rings, derived from Chern-Simons theory quantization.

Findings

Universal formulas for handle operator inverses

Connection to Chern-Simons quantization

Simplification of fusion ring calculations

Abstract

For the series associated to a group or coset R.C.F.T. there is a simple universal form for the inverse of the handle operator in the ring of fusions. These formulae may be easily understood from the quantization of the associated Chern-Simons theory. (Transcript of talk given at STRINGS '93 (Berkeley) Conference)