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An introduction to the BV-BFV formalism
Multi angle
Authors : Cattaneo, Alberto S. (Author of the conference)
CIRM (Publisher )
81T13 - Yang-Mills and other gauge theories
81T70 - Quantization in field theory; cohomological methods
83C45 - Quantization of the gravitational field
70S05 - Lagrangian formalism and Hamiltonian formalism
Additional resources :
https://www.cirm-math.fr/ProgWeebly/Renc1746/Cattaneo.pdf
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 81T13 - Yang-Mills and other gauge theories
81T70 - Quantization in field theory; cohomological methods
83C45 - Quantization of the gravitational field
70S05 - Lagrangian formalism and Hamiltonian formalism
Additional resources :
https://www.cirm-math.fr/ProgWeebly/Renc1746/Cattaneo.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/06/2018 Conference Date : 04/06/2018 Subseries : Research talks arXiv category : Mathematical Physics ; High Energy Physics ; Quantum Algebra ; Spectral Theory Mathematical Area(s) : Topology ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:54:39 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-06-04_cattaneo.mp4 
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Information on the Event
Event Title : Representation theory, mathematical physics and integrable systems / Théorie des représentations, physique mathématique et systèmes intégrablesEvent Organizers : Yakimov, Milen ; Webster, Ben Dates : 04/06/2018 - 08/06/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1746.html
Citation Data
DOI : 10.24350/CIRM.V.19414403Cite this video as: Cattaneo, Alberto S. (2018). An introduction to the BV-BFV formalism. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19414403 URI : http://dx.doi.org/10.24350/CIRM.V.19414403 |
See Also
- [Multi angle] Capelli eigenvalue problem for Lie superalgebras and supersymmetric polynomials / Author of the conference Serganova, Vera.
- [Multi angle] Geometric recursion / Author of the conference Andersen, Jorgen Ellegaard.
- [Multi angle] Exact density matrix for quantum group invariant sector of XXZ / Author of the conference Smirnov, Fedor.
Bibliography
- 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.
- 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.
