Please use this identifier to cite or link to this item:
https://physrep.ff.bg.ac.rs/handle/123456789/905
DC Field | Value | Language |
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dc.contributor.author | Dimitrijević-Ćirić, Marija | en |
dc.contributor.author | Giotopoulos, Grigorios | en |
dc.contributor.author | Radovanović, Voja | en |
dc.contributor.author | Szabo, Richard J. | en |
dc.date.accessioned | 2022-07-12T17:23:34Z | - |
dc.date.available | 2022-07-12T17:23:34Z | - |
dc.date.issued | 2020-11-01 | en |
dc.identifier.issn | 0022-2488 | en |
dc.identifier.uri | https://physrep.ff.bg.ac.rs/handle/123456789/905 | - |
dc.description.abstract | We give a detailed account of the cyclic L∞-algebra formulation of general relativity with a cosmological constant in the Einstein-Cartan-Palatini formalism on spacetimes of arbitrary dimension and signature, which encompasses all symmetries, field equations, and Noether identities of gravity without matter fields. We present a local formulation as well as a global covariant framework, and an explicit isomorphism between the two L∞-algebras in the case of parallelizable spacetimes. By duality, we show that our L∞-algebras describe the complete Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formulation of Einstein-Cartan-Palatini gravity. We give a general description of how to extend on-shell redundant symmetries in topological gauge theories to off-shell correspondences between symmetries in terms of quasi-isomorphisms of L∞-algebras. We use this to extend the on-shell equivalence between gravity and Chern-Simons theory in three dimensions to an explicit L∞-quasi-isomorphism between differential graded Lie algebras, which applies off-shell and for degenerate dynamical metrics. In contrast, we show that there is no morphism between the L∞-algebra underlying gravity and the differential graded Lie algebra governing BF theory in four dimensions. | en |
dc.relation.ispartof | Journal of Mathematical Physics | en |
dc.title | L<inf>∞</inf>-algebras of Einstein-Cartan-Palatini gravity | en |
dc.type | Article | en |
dc.identifier.doi | 10.1063/5.0011344 | en |
dc.identifier.scopus | 2-s2.0-85096141480 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85096141480 | en |
dc.relation.issue | 11 | en |
dc.relation.volume | 61 | en |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.orcid | 0000-0001-7738-7141 | - |
crisitem.author.orcid | 0000-0003-0675-1836 | - |
Appears in Collections: | Journal Article |
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