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

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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.