Mišković, OliveraOlea, RodrigoPetropoulos, P. MariosRivera-Betancour, DavidSiampos, Konstantinos2024-06-052024-06-052023-12Journal of High Energy Physics Open Access Volume 2023, Issue 12 December 2023 Article number 13010298479https://repositorio.unab.cl/handle/ria/57343Indexación: Scopus.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.enChern-Simons TheoriesClassical Theories of GravityHolography and HydrodynamicsArtículoCC BY 4.0 ATTRIBUTION 4.0 INTERNATIONAL10.1007/JHEP12(2023)130