arXiv
Open Access
2013
Coisotropic submanifolds and dual pairs
Alberto S. Cattaneo
Abstrak
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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A
Alberto S. Cattaneo
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2013
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓