2013/04/04 by C. Klimčı́k, Ctirad Klimcik
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #Hamiltonian (control theory) #Mathematical physics #Mathematics #Moduli space #Monodromy #Physics #Pure mathematics #Riemann sphere #Riemann surface #Symplectic geometry #Symplectomorphism #hep-th #math-ph #math.MP #math.SG
paper · pdf · doi:10.1016/j.geomphys.2013.10.009
published in Journal of Geometry and Physics 76, 25-37 (Elsevier BV) · 22 pages
arxiv created 2013/04/04 · openalex publication_date 2013/10/24 · arxiv updated 2015/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.