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arXiv · 1306.3249

Coisotropic submanifolds and dual pairs

Alberto S. Cattaneo
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Abstract

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.

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Alberto S. Cattaneo. 2013-10-17. Coisotropic submanifolds and dual pairs. https://doi.org/10.1007/s11005-013-0661-2

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