Letters in Mathematical Physics

, Volume 104, Issue 3, pp 243–270 | Cite as

Coisotropic Submanifolds and Dual Pairs

  • Alberto S. CattaneoEmail author


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.

Mathematics Subject Classification (1991)

Primary 53D17 Secondary 81T45 53D20 58H05 


coisotropic submanifolds dual pairs Poisson sigma model Lagrangian field theories with boundary 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZurichSwitzerland

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