Superconformal and Super-BRS Invariance of the N = 1 Supersymmetric WZW Model Based on Lie Superalgebra

TL;DR

This paper investigates the superconformal and super-BRS invariance of the N=1 supersymmetric WZW model based on Lie superalgebra, using Fujikawa regularization to determine the critical super-dimension and fixing the coupling constant.

Contribution

It provides a rigorous derivation of the critical super-dimension and confirms the coupling constant value in the supersymmetric WZW model based on Lie superalgebra.

Findings

Critical super-dimension computed using Fujikawa regularization

Coupling constant fixed at a2=1 through rigorous analysis

Reaffirmation of known coupling relation in supersymmetric WZW model

Abstract

We study the superconformal and super-BRS invariance of the supersymmetric Wess-Zumino-Witten model based on Lie superalgebra. The computation of the critical super-dimension of this model is done using the Fujikawa regularization. Finally, we recover the well-known result which fixes the relative coupling constant a2 = 1 in a rigorous way.