Examinando por Autor "Rivera-Betancour, David"
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Ítem Chern-Simons action and the Carrollian Cotton tensors(Springer Science and Business Media Deutschland GmbH Original language, 2023-12) Mišković, Olivera; Olea, Rodrigo; Petropoulos, P. Marios; Rivera-Betancour, David; Siampos, KonstantinosIn 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.Ítem Renormalized holographic entanglement entropy for quadratic curvature gravity(American Physical Society, 2021-10) Giorgos, Anastasiou; Araya, , Ignacio J; Moreno, , Javier; Olea, Rodrigo; Rivera-Betancour, DavidWe derive a covariant expression for the renormalized holographic entanglement entropy for conformal field theories (CFTs) dual to quadratic curvature gravity in arbitrary dimensions. This expression is written as the sum of the bare entanglement entropy functional obtained using standard conical defect techniques, and a counterterm defined at the boundary of the extremal surface of the functional. The latter corresponds to the cod-2 self-replicating part of the extrinsic counterterms when evaluated on the replica orbifold. This renormalization method isolates the universal terms of the holographic entanglement entropy functional. We use it to compute the standard -function candidate for CFTs of arbitrary dimension, and the type-B anomaly coefficient for four-dimensional CFTs. © 2021 Published by the American Physical Society