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Coisotropic Submanifolds and Dual Pairs

Cattaneo, Alberto

In: Letters in Mathematical Physics, 2014, vol. 104, no. 3, p. 243-270

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    Titel
    • Coisotropic Submanifolds and Dual Pairs
    Autor
    • Cattaneo, Alberto. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057, Zurich, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Letters in Mathematical Physics, 2014, vol. 104, no. 3, p. 243-270. Springer Netherlands
    Andere elektronische Ausgabe
    OAI-PMH-ID
    • oai:doc.rero.ch:325098
    Summary
    The Poisson sigma model is a widely studied two-dimensional topological field theory. This note shows that boundary conditions for the Poisson sigma model are related to coisotropic submanifolds (a result announced in [math.QA/0309180]) and that the corresponding reduced phase space is a (possibly singular) dual pair between the reduced spaces of the given two coisotropic submanifolds. In addition the generalization to a more general tensor field is considered and it is shown that the theory produces Lagrangian evolution relations if and only if the tensor field is Poisson.