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

2001/08/27 by Fernando Falceto, Krzysztof Gawedzki
Physics and Astronomy · #hep-th

paper · pdf

published as Lett.Math.Phys. 59 (2002) 61-79 · 23 pages, latex, no figures

arxiv created 2001/08/27 · arxiv updated 2009/11/30

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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