Semantic Scholar Open Access 2013 11 sitasi

Coisotropic Submanifolds and Dual Pairs

A. 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.

Topik & Kata Kunci

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A. Cattaneo

Format Sitasi

Cattaneo, A. (2013). Coisotropic Submanifolds and Dual Pairs. https://doi.org/10.1007/s11005-013-0661-2

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Informasi Jurnal
Tahun Terbit
2013
Bahasa
en
Total Sitasi
11×
Sumber Database
Semantic Scholar
DOI
10.1007/s11005-013-0661-2
Akses
Open Access ✓