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