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  General Relativity and the AKSZ construction

Canepa, G., Cattaneo, A. S., & Schiavina, M. (2021). General Relativity and the AKSZ construction. Communications in Mathematical Physics, 385(3), 1571-1614. doi:10.1007/s00220-021-04127-6.

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Canepa-Cattaneo-Schiavina_General relativity and the AKSZ construction_2021.pdf (Publisher version), 569KB
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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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https://doi.org/10.1007/s00220-021-04127-6 (Publisher version)
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 Creators:
Canepa, Giovanni, Author
Cattaneo, Alberto S., Author
Schiavina, Michele1, Author              
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematical Physics, General Relativity and Quantum Cosmology, Mathematical Physics
 Abstract: In this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein-Hilbert and of the Palatini--Cartan theories in every space-time dimension greater than two. In the former case one obtains a BV theory for the first-order formulation of Einstein--Hilbert theory, in the latter a BV theory for Palatini--Cartan theory with a partial implementation of the torsion-free condition already on the space of fields. All theories described here are BV versions of the same classical system on cylinders. The AKSZ implementations we present have the advantage of yielding a compatible BV-BFV description, which is the required starting point for a quantization in presence of a boundary.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published in print
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 Rev. Type: Peer
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Title: Communications in Mathematical Physics
  Abbreviation : Comm. Math. Phys.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 385 (3) Sequence Number: - Start / End Page: 1571 - 1614 Identifier: -