Quasi-Hamiltonian bookkeeping of WZNW defects
Autor: | Ctirad Klimcik |
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Přispěvatelé: | Institut de mathématiques de Luminy (IML), Centre National de la Recherche Scientifique (CNRS)-Université de la Méditerranée - Aix-Marseille 2, Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS), Klimcik, Ctirad |
Jazyk: | angličtina |
Rok vydání: | 2013 |
Předmět: |
High Energy Physics - Theory
General Physics and Astronomy FOS: Physical sciences Geometry 01 natural sciences symbols.namesake Theoretical physics High Energy Physics::Theory [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 0103 physical sciences FOS: Mathematics [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph] 0101 mathematics Mathematics::Symplectic Geometry Mathematical Physics Mathematics 010308 nuclear & particles physics Riemann surface 010102 general mathematics Quasi-Hamiltonian Geometry WZNW model Defects Mathematical Physics (math-ph) Moduli space Monodromy High Energy Physics - Theory (hep-th) Mathematics - Symplectic Geometry symbols Symplectic Geometry (math.SG) Geometry and Topology Hamiltonian (quantum mechanics) Symplectic geometry |
Zdroj: | Journal of Geometry and Physics Journal of Geometry and Physics, Elsevier, 2013, 76, pp.25-37 Journal of Geometry and Physics, 2013, 76, pp.25-37 |
ISSN: | 0393-0440 |
Popis: | 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. 22 pages |
Databáze: | OpenAIRE |
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