Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids
2022 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Cabrera, Alejandro; Cueca, Miquel
- Abstract
- Abstract We show that the 2d Poisson Sigma Model on a Poisson groupoid arises as an effective theory of the 3d Courant Sigma Model associated with the double of the underlying Lie bialgebroid. This field-theoretic result follows from a Lie-theoretic one involving a coisotropic reduction of the odd cotangent bundle by a generalized space of algebroid paths. We also provide several examples, including the case of symplectic groupoids in which we relate the symplectic realization construction of Crainic–Marcut to a particular gauge fixing of the 3d theory.
- Issue Date
- 2022
- Journal
- Letters in Mathematical Physics
- Organization
- Mathematisches Institut
- ISSN
- 0377-9017
- eISSN
- 1573-0530
- Language
- English