University of Cambridge > > DAMTP Friday GR Seminar > (Entanglement) Entropy in three-dimensional higher spin theories

(Entanglement) Entropy in three-dimensional higher spin theories

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If you have a question about this talk, please contact Dr Joan Camps.

A holographic correspondence has been recently developed between higher spin theories in AdS_3 and (1+1)-dimensional CFTs with extended symmetries. A class of such dualities involves SL(N)xSL(N) Chern-Simons theory in the bulk, and CFTs with W_N symmetry algebras on the boundary. In this framework, black hole solutions in the bulk theory are dual to thermal equilibrium states with non-trivial higher spin charges and chemical potentials. We discuss the thermodynamics of the higher spin black holes by constructing an appropriate Euclidean variational principle, and provide a generalization of Cardy’s entropy formula for these setups. Additionally, we present a proposal to compute entanglement entropy in the dual CFTs via holography, thus extending the Ryu-Takayanagi prescription to higher spin theories in AdS_3.

This talk is part of the DAMTP Friday GR Seminar series.

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