Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/899
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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.accessioned2022-07-12T17:23:33Z-
dc.date.available2022-07-12T17:23:33Z-
dc.date.issued2021-12-01en
dc.identifier.issn0377-9017en
dc.identifier.urihttps://physrep.ff.bg.ac.rs/handle/123456789/899-
dc.description.abstractWe define a new homotopy algebraic structure, that we call a braided L∞-algebra, and use it to systematically construct a new class of noncommutative field theories, that we call braided field theories. Braided field theories have gauge symmetries which realize a braided Lie algebra, whose Noether identities are inhomogeneous extensions of the classical identities, and which do not act on the solutions of the field equations. We use Drinfel’d twist deformation quantization techniques to generate new noncommutative deformations of classical field theories with braided gauge symmetries, which we compare to the more conventional theories with star-gauge symmetries. We apply our formalism to introduce a braided version of general relativity without matter fields in the Einstein–Cartan–Palatini formalism. In the limit of vanishing deformation parameter, the braided theory of noncommutative gravity reduces to classical gravity without any extensions.en
dc.relation.ispartofLetters in Mathematical Physicsen
dc.subjectDrinfeld twisten
dc.subjectL -algebra ∞en
dc.subjectNoncommutative gravityen
dc.titleBraided L<inf>∞</inf> -algebras, braided field theory and noncommutative gravityen
dc.typeArticleen
dc.identifier.doi10.1007/s11005-021-01487-xen
dc.identifier.scopus2-s2.0-85120951849en
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85120951849en
dc.relation.issue6en
dc.relation.volume111en
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.orcid0000-0001-7738-7141-
crisitem.author.orcid0000-0003-0675-1836-
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