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arXiv · hep-th/0108206

Boundary G/G theory and topological Poisson-Lie sigma model

Fernando Falceto·Krzysztof Gawedzki
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Abstract

We study a boundary version of the gauged WZW model with a Poisson-Lie group G as the target. The Poisson-Lie structure of G is used to define the Wess-Zumino term of the action on surfaces with boundary. We clarify the relation of the model to the topological Poisson sigma model with the dual Poisson-Lie group G^* as the target and show that the phase space of the theory on a strip is essentially the Heisenberg double of G introduced by Semenov-Tian-Shansky

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Fernando Falceto, Krzysztof Gawedzki. 2001-08-27. Boundary G/G theory and topological Poisson-Lie sigma model. https://arxiv.org/abs/hep-th/0108206

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