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

A bstract A WZW model on the Lie supergroup ( C 3 + A ) is constructed. It is shown that this model contains super Poisson-Lie symmetry with the dual Lie supergroup C 3 ⊕ A 1,1| . i . Furthermore, we show that the dual model is also equivalent to the WZW model on isomorphic Lie supergroup ( C 3 + A...

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Bibliographic Details
Published in:The journal of high energy physics 2013-07, Vol.2013 (7), p.1-13, Article 134
Main Authors: Eghbali, A., Rezaei-Aghdam, A.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Construction
Elementary Particles
Equivalence
High energy physics
Isomorphism
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Symmetry
Transformations
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Summary:A bstract A WZW model on the Lie supergroup ( C 3 + A ) is constructed. It is shown that this model contains super Poisson-Lie symmetry with the dual Lie supergroup C 3 ⊕ A 1,1| . i . Furthermore, we show that the dual model is also equivalent to the WZW model on isomorphic Lie supergroup ( C 3 + A ). i . In this manner, because of isomorphism of the with a Manin supertriple, it is shown that the N = (2,2) structure is preserved under the super Poisson-Lie T-duality transformation.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2013)134