Extended kinematical 3D gravity theories

Concha, Patrick; Pino, Daniel; Ravera, Lucrezia; Rodriguez, Evelyn

Abstract

In this work, we classify all extended and generalized kinematical Lie algebras that can be obtained by expanding the so (2, 2) algebra. We show that the Lie algebra expansion method based on semigroups reproduces not only the original kinematical algebras but also a family of non- and ultra-relativistic algebras. Remarkably, the extended kinematical algebras obtained as sequential expansions of the AdS algebra are characterized by a non-degenerate bilinear invariant form, ensuring the construction of a well-defined Chern-Simons gravity action in three spacetime dimensions. Contrary to the contraction process, the degeneracy of the non-Lorentzian theories is avoided without extending the relativistic algebra but considering a bigger semigroup. Using the properties of the expansion procedure, we show that our construction also applies at the level of the Chern-Simons action.

Más información

Título según WOS: ID WOS:001140384600001 Not found in local WOS DB
Título de la Revista: JOURNAL OF HIGH ENERGY PHYSICS
Número: 1
Editorial: Springer
Fecha de publicación: 2024
DOI:

10.1007/JHEP01(2024)040

Notas: ISI