Chern-Simons action and the Carrollian Cotton tensors

Autor:	Miskovic, Olivera, Olea, Rodrigo, Petropoulos, P. Marios, Rivera-Betancour, David, Siampos, Konstantinos
Rok vydání:	2023
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Zdroj:	JHEP12(2023)130
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP12(2023)130
Popis:	In 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. The extremums of these Carrollian actions are commented and illustrated. Comment: v1: 1+21 pages, Latex, v2: JHEP version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.19929 Zobrazit plný text záznamu View this record from Arxiv