Chern-Simons action and the Carrollian Cotton tensors
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Fecha
2023-12
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Springer Science and Business Media Deutschland GmbH Original language
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Licencia CC
CC BY 4.0 ATTRIBUTION 4.0 INTERNATIONAL
Licencia CC
https://creativecommons.org/licenses/by/4.0/
Resumen
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.
Notas
Indexación: Scopus.
Palabras clave
Chern-Simons Theories, Classical Theories of Gravity, Holography and Hydrodynamics
Citación
Journal of High Energy Physics Open Access Volume 2023, Issue 12 December 2023 Article number 130
DOI
10.1007/JHEP12(2023)130