WZW models as mutual super Poisson-Lie T-dual sigma models

Abstract

A WZW model on the Lie supergroup (C3+A) is constructed. It is shown that this model contains super Poisson-Lie symmetry with the dual Lie supergroup C3 + A1,1|.i. Furthermore, we show that the dual model is also equivalent to the WZW model on isomorphic Lie supergroup (C3+A).i. In this manner, because of isomorphism of the (C3+A) with a Manin supertriple, it is shown that the N=(2,2) structure is preserved under the super Poisson-Lie T-duality transformation.

12 pages

References in corpus (2)

• On the SU(2|1) WZW model and its statistical mechanics applications
• Poisson-Lie T-dual sigma models on supermanifolds

Cited by in corpus (10)

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• A hierarchy of WZW models related to super Poisson-Lie T-duality
• T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• Generalized Supergravity Equations for the WZW Model
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations