Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/905
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dc.contributor.authorDimitrijević-Ćirić, Marijaen
dc.contributor.authorGiotopoulos, Grigoriosen
dc.contributor.authorRadovanović, Vojaen
dc.contributor.authorSzabo, Richard J.en
dc.date.accessioned2022-07-12T17:23:34Z-
dc.date.available2022-07-12T17:23:34Z-
dc.date.issued2020-11-01en
dc.identifier.issn0022-2488en
dc.identifier.urihttps://physrep.ff.bg.ac.rs/handle/123456789/905-
dc.description.abstractWe 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.ispartofJournal of Mathematical Physicsen
dc.titleL<inf>∞</inf>-algebras of Einstein-Cartan-Palatini gravityen
dc.typeArticleen
dc.identifier.doi10.1063/5.0011344en
dc.identifier.scopus2-s2.0-85096141480en
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85096141480en
dc.relation.issue11en
dc.relation.volume61en
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.orcid0000-0001-7738-7141-
crisitem.author.orcid0000-0003-0675-1836-
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