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Chern-Simons action for inhomogeneous Virasoro group as extension of three dimensional flat gravity

par Barnich, Glenn ;Giribet, Gaston;Leston, Mauricio
Référence Journal of mathematical physics, 56, 7, 071701
Publication Publié, 2015

Article révisé par les pairs

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Résumé :

We initiate the study of a Chern-Simons action associated to the semi-direct sum of the Virasoro algebra with its coadjoint representation. This model extends the standard Chern-Simons formulation of three dimensional flat gravity and is similar to the higher-spin extension of three dimensional anti-de Sitter or flat gravity. The extension can also be constructed for the exotic but not for the cosmological constant deformation of flat gravity.