Presymplectic AKSZ formulation of Einstein gravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018573" target="_blank" >RIV/62690094:18470/21:50018573 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/JHEP09(2021)181#citeas" target="_blank" >https://link.springer.com/article/10.1007/JHEP09(2021)181#citeas</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP09(2021)181" target="_blank" >10.1007/JHEP09(2021)181</a>
Alternative languages
Result language
angličtina
Original language name
Presymplectic AKSZ formulation of Einstein gravity
Original language description
Any local gauge theory can be represented as an AKSZ sigma model (upon parameterization if necessary). However, for non-topological models in dimension higher than 1 the target space is necessarily infinite-dimensional. The interesting alternative known for some time is to allow for degenerate presymplectic structure in the target space. This leads to a very concise AKSZ-like representation for frame-like Lagrangians of gauge systems. In this work we concentrate on Einstein gravity and show that not only the Lagrangian but also the full-scale Batalin-Vilkovisky (BV) formulation is naturally encoded in the presymplectic AKSZ formulation, giving an elegant supergeometrical construction of BV for Cartan-Weyl action. The same applies to the main structures of the respective Hamiltonian BFV formulation.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-00496S" target="_blank" >GA18-00496S: Singular spaces from special holonomy and foliations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
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Volume of the periodical
neuveden
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
"Article Number: 181"
UT code for WoS article
000701662000001
EID of the result in the Scopus database
2-s2.0-85115851796