$N=2$ chiral WZNW model in superspace

TL;DR

This paper analyzes the Poisson bracket algebra of the N=2 supersymmetric chiral WZNW model in superspace, focusing on the role of classical r-matrices and the model's symmetries.

Contribution

It introduces a detailed study of the Poisson brackets involving two classical r-matrices and explores the constraints and symmetries in the N=2 supersymmetric WZNW model.

Findings

Identification of two classical r-matrices in the algebra

Insights into the constraints imposed by N=2 supersymmetry

Analysis of the model's symmetries and potential relaxation of constraints

Abstract

We study the Poisson bracket algebra of the $N=2$ supersymmetric chiral WZNW model in superspace. It involves two classical r-matrices, one of which comes from the geometrical constraints implied by $N=2$ supersymmetry. The phase space itself consists of superfields satisfying constraints involving this r-matrix. An attempt is made to relax these constraints. The symmetries of the model are investigated.