Chern-Simons action and the Carrollian Cotton tensors

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dc.contributor.authorMišković, Olivera
dc.contributor.authorOlea, Rodrigo
dc.contributor.authorPetropoulos, P. Marios
dc.contributor.authorRivera-Betancour, David
dc.contributor.authorSiampos, Konstantinos
dc.date.accessioned2024-06-05T16:59:16Z
dc.date.available2024-06-05T16:59:16Z
dc.date.issued2023-12
dc.descriptionIndexación: Scopus.
dc.description.abstractIn three-dimensional pseudo-Riemannian manifolds, the Cotton tensor arises as the variation of the gravitational Chern-Simons action with respect to the metric. It is Weyl-covariant, symmetric, traceless and covariantly conserved. Performing a reduction of the Cotton tensor with respect to Carrollian diffeomorphisms in a suitable frame, one discloses four sets of Cotton Carrollian relatives, which are conformal and obey Carrollian conservation equations. Each set of Carrollian Cotton tensors is alternatively obtained as the variation of a distinct Carroll-Chern-Simons action with respect to the degenerate metric and the clock form of a strong Carroll structure. The four Carroll-Chern-Simons actions emerge in the Carrollian reduction of the original Chern-Simons ascendant. They inherit its anomalous behaviour under diffeomorphisms and Weyl transformations.
dc.description.urihttps://www-scopus-com.recursosbiblioteca.unab.cl/record/display.uri?eid=2-s2.0-85180708258&origin=resultslist&sort=plf-f&src=s&nlo=&nlr=&nls=&sid=54f347bf3563f89aa25e28b63a6fc5b4&sot=aff&sdt=aff&sl=34&s=AF-ID%2860002636%29+AND+SUBJAREA%28PHYS%29&relpos=123&citeCnt=1&searchTerm=
dc.identifier.citationJournal of High Energy Physics Open Access Volume 2023, Issue 12 December 2023 Article number 130
dc.identifier.doi10.1007/JHEP12(2023)130
dc.identifier.issn10298479
dc.identifier.urihttps://repositorio.unab.cl/handle/ria/57343
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH Original language
dc.rights.licenseCC BY 4.0 ATTRIBUTION 4.0 INTERNATIONAL
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectChern-Simons Theories
dc.subjectClassical Theories of Gravity
dc.subjectHolography and Hydrodynamics
dc.titleChern-Simons action and the Carrollian Cotton tensors
dc.typeArtículo
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