Results 1  10
of
19
Jottar, “Thermodynamics of higher spin black holes
 in AdS3,” JHEP 1401 (2014) 023, arXiv:1302.0816 [hepth
"... We discuss the thermodynamics of recently constructed threedimensional higher spin black holes in SL(N,R) × SL(N,R) ChernSimons theory with generalized asymptoticallyantide Sitter boundary conditions. From a holographic perspective, these bulk theories are dual to twodimensional CFTs with WN s ..."
Abstract

Cited by 13 (1 self)
 Add to MetaCart
(Show Context)
We discuss the thermodynamics of recently constructed threedimensional higher spin black holes in SL(N,R) × SL(N,R) ChernSimons theory with generalized asymptoticallyantide Sitter boundary conditions. From a holographic perspective, these bulk theories are dual to twodimensional CFTs with WN symmetry algebras, and the black hole solutions are dual to thermal states with higher spin chemical potentials and charges turned on. Because the notion of horizon area is not gaugeinvariant in the higher spin theory, the traditional approaches to the computation of black hole entropy must be reconsidered. One possibility, explored in the recent literature, involves demanding the existence of a partition function in the CFT, and consistency with the first law of thermodynamics. This approach is not free from ambiguities, however, and in particular different definitions of energy result in different expressions for the entropy. In the present work we show that there are natural definitions of the thermodynamically conjugate variables that follow from careful examination of the variational principle, and moreover agree with those obtained via canonical methods. Building on this intuition, we derive general expressions for the higher spin black hole entropy and free energy which are written entirely in terms of the ChernSimons connections, and are valid for both static and rotating solutions. We compare our results to other proposals in the literature, and provide a new and efficient way to determine the generalization of the Cardy formula to a situation with higher spin charges.a rX iv
Entanglement Entropy and Higher Spin Holography
 in AdS3, JHEP 1404
, 2014
"... A holographic correspondence has been recently developed between higher spin theories in threedimensional antide Sitter space (AdS3) and twodimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities involves SL(N,R) × SL(N,R) ChernSimons gauge theories in th ..."
Abstract

Cited by 7 (2 self)
 Add to MetaCart
(Show Context)
A holographic correspondence has been recently developed between higher spin theories in threedimensional antide Sitter space (AdS3) and twodimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities involves SL(N,R) × SL(N,R) ChernSimons gauge theories in the (2+1)dimensional bulk spacetime, and CFTs with WN symmetry algebras on the (1+1)dimensional boundary. The topological character of the ChernSimons theory forces one to reconsider standard geometric notions such as black hole horizons and entropy, as well as the usual holographic dictionary. Motivated by this challenge, in this note we present a proposal to compute entanglement entropy in the WN CFTs via holographic methods. In particular, we introduce a functional constructed from Wilson lines in the bulk ChernSimons theory that captures the entanglement entropy in the CFTs dual to standard AdS3 gravity, corresponding to SL(2,R) × SL(2,R) gauge group, and admits an immediate generalization to the higher spin case. We explicitly evaluate this functional for several known solutions of the ChernSimons theory, including charged black holes dual to thermal CFT states carrying higher spin charge, and show that it reproduces expected features of entanglement entropy, study whether it obeys strong subadditivity, and moreover show that it reduces to the thermal entropy in the appropriate limit. ar X iv
Relative entropy in higher spin holography
, 2014
"... We examine relative entropy in the context of the higherspin/CFT duality. We consider 3d bulk configurations in higher spin gravity which are dual to low and high temperature states of a CFT with Walgebra symmetries in presence of a chemical potential for a higher spin current. The relative entr ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We examine relative entropy in the context of the higherspin/CFT duality. We consider 3d bulk configurations in higher spin gravity which are dual to low and high temperature states of a CFT with Walgebra symmetries in presence of a chemical potential for a higher spin current. The relative entropy between these states is then evaluated using the Wilson line functional for holographic entanglement entropy. In the limit of small entangling intervals, the relative entropy should vanish for a generic quantum system. We confirm this behaviour by showing that the difference in the modular Hamiltonian between the states matches with the difference in the entanglement entropy in the shortdistance regime. Additionally, we compute the relative entropy between states corresponding to smooth solutions in the SL(2,Z) family.
TIME DEPENDENT HOLOGRAPHY
"... This Doctoral Dissertation is brought to you for free and open access by the Physics and Astronomy at UKnowledge. It has been accepted for inclusion in Theses and DissertationsPhysics and Astronomy by an authorized administrator of UKnowledge. For more information, please contact ..."
Abstract
 Add to MetaCart
(Show Context)
This Doctoral Dissertation is brought to you for free and open access by the Physics and Astronomy at UKnowledge. It has been accepted for inclusion in Theses and DissertationsPhysics and Astronomy by an authorized administrator of UKnowledge. For more information, please contact