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Quasi-Hamiltonian bookkeeping of WZNW defects

Mathematical Physics 2015-05-22 v1 High Energy Physics - Theory math.MP Symplectic Geometry

Abstract

We interpret the chiral WZNW model with general monodromy as an infinite dimensional quasi-Hamiltonian dynamical system. This interpretation permits to explain the totality of complicated cross-terms in the symplectic structures of various WZNW defects solely in terms of the single concept of the quasi-Hamiltonian fusion. Translated from the WZNW language into that of the moduli space of flat connections on Riemann surfaces, our result gives a compact and transparent characterisation of the symplectic structure of the moduli space of flat connections on a surface with k handles, n boundaries and m Wilson lines.

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Cite

@article{arxiv.1304.1372,
  title  = {Quasi-Hamiltonian bookkeeping of WZNW defects},
  author = {Ctirad Klimcik},
  journal= {arXiv preprint arXiv:1304.1372},
  year   = {2015}
}

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22 pages