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Split Chern–Simons theory in the BV-BFV formalism


Cattaneo, Alberto Sergio; Mnev, Pavel; Wernli, Konstantin (2017). Split Chern–Simons theory in the BV-BFV formalism. In: Cardona, Alexander; Morales, Pedro; Ocampo, Hernán; Paycha, Sylvie; Reyes Lega, Andrés F. Quantization, Geometry and Noncommutative Structures in Mathematics and Physics. Cham: Springer, 293-324.

Abstract

The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in (Cattaneo et al., Commun Math Phys 332(2), 535–603, 2014) [9], (Cattaneo et al., Perturbative Quantum Gauge Theories on Manifolds with Boundary, 2015) [10] in order to perform perturbative quantisation of Lagrangian field theories on manifolds with boundary, and present a special case of Chern–Simons theory as a new example.

Abstract

The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in (Cattaneo et al., Commun Math Phys 332(2), 535–603, 2014) [9], (Cattaneo et al., Perturbative Quantum Gauge Theories on Manifolds with Boundary, 2015) [10] in order to perform perturbative quantisation of Lagrangian field theories on manifolds with boundary, and present a special case of Chern–Simons theory as a new example.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:28 October 2017
Deposited On:26 Jan 2018 07:25
Last Modified:26 Jan 2022 15:10
Publisher:Springer
ISBN:978-3-319-65426-3
OA Status:Green
Publisher DOI:https://doi.org/10.1007/978-3-319-65427-0_9
Official URL:http://www.springer.com/de/book/9783319654263
  • Content: Accepted Version
  • Language: English