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An introduction to the BV-BFV formalism

De Alberto S. Cattaneo

Apparaît dans les collections : Representation theory, mathematical physics and integrable systems / Théorie des représentations, physique mathématique et systèmes intégrables, Exposés de recherche

The BV-BFV formalism unifies the BV formalism (which deals with the problem of fixing the gauge of field theories on closed manifolds) with the BFV formalism (which yields a cohomological resolution of the reduced phase space of a classical field theory). I will explain how this formalism arises and how it can be quantized.

Informations sur la vidéo

Date de captation 04/06/2018
Date de publication 07/06/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19414403
Citer cette vidéo Cattaneo, Alberto S. (04/06/2018). An introduction to the BV-BFV formalism. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19414403
URL https://dx.doi.org/10.24350/CIRM.V.19414403

Domaine(s)

Bibliographie

Cattaneo, A.S., Mnev, P., & Reshetikhin, N. (2018). Perturbative quantum gauge theories on manifolds with boundary. Communications in Mathematical Physics, 357(2), 631-730 - http://dx.doi.org/10.1007/s00220-017-3031-6
Cattaneo, A.S., & Schiavina, M. (2018). BV-BFV approach to general relativity: Palatini-Cartan-Holst action. <arXiv:1707.06328> - https://arxiv.org/abs/1707.06328
Cattaneo, A.S., Mnev, P., & Reshetikhin, N. (2014). Classical BV theories on manifolds with boundary. Communications in Mathematical Physics, 332(2), 535-603 - https://doi.org/10.1007/s00220-014-2145-3
Cattaneo, A.S., Mnev, P., & Wernli, K. (2017). Split Chern-Simons theory in the BV-BFV formalism. In A. Cardona, P. Morales, H. Ocampo, S. Paycha, & A.F. Reyes Lega (Eds.), Quantization, geometry and noncommutative structures in mathematics and physics (pp. 293-324). Contributions of the summer school, Villa de Leyva, Columbia. Cham: Springer - https://doi.org/10.1007/978-3-319-65427-0_9
Cattaneo, A.S., Moshayedi, N., & Wernli, K. (2017). Relational Symplectic Groupoid Quantization for Constant Poisson Structures. <arXiv:1611.05617> - https://arxiv.org/abs/1611.05617

Codes MSC

Document(s)

https://www.cirm-math.fr/ProgWeebly/Renc1746/Cattaneo.pdf

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