par Compère, Geoffrey ;Song, Wei;Jottar, Juan J.I.
Référence The Journal of high energy physics, 2013, 11
Publication Publié, 2013
Référence The Journal of high energy physics, 2013, 11
Publication Publié, 2013
Article révisé par les pairs
Résumé : | In the context of recently proposed holographic dualities between higher spin theories in AdS3 and (1 + 1)-dimensional CFTs with W symmetry algebras, we revisit the deffinition of higher spin black hole thermodynamics and the dictionary between bulk fields and dual CFT operators. We build a canonical formalism based on three ingredients: a gauge-invariant definition of conserved charges and chemical potentials in the presence of higher spin black holes, a canonical definition of entropy in the bulk, and a bulk-to-boundary dictionary aligned with the asymptotic symmetry algebra. We show that our canonical formalism shares the same formal structure as the so-called holomorphic formalism, but differs in the deffinition of charges and chemical potentials and in the bulk-to-boundary dictionary. Most importantly, we show that it admits a consistent CFT interpretation. We discuss the spin-2 and spin-3 cases in detail and generalize our construction to theories based on the hs[λ] algebra, and on the sl (N; R) algebra for any choice of sl (2; R) embedding. © SISSA 2013. |