In order to compute the entanglement entropy for a given region in a theory with an Einstein gravity dual, the Ryu-Takayanagi prescription tells us that we must compute the area of an extremal surface anchored to the entangling region. However, if the dual gravity theory receives higher-curvature corrections we are compelled to extremize a quantity which is no longer given by the area but a higher-derivative functional. Hence, in order to find the extremal surface that yields the correct value of the entanglement entropy, we must include an additional boundary condition to the problem. We claim that the additional condition can be fixed by demanding that the relationship between the bulk depth and the size of the entangling region is the one induced by geodesics, we call this the free-kick condition. We implement this prescription in the computation of the entanglement entropy of the hairy black hole in new massive gravity, and find a perfect agreement with conformal field theory expectations.

Hosseini, S., Véliz Osorio, Á. (2015). Free-kick condition for entanglement entropy in higher curvature gravity. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 92(4) [10.1103/PhysRevD.92.046010].

Free-kick condition for entanglement entropy in higher curvature gravity

HOSSEINI, SEYEDMORTEZA
Primo
;
2015

Abstract

In order to compute the entanglement entropy for a given region in a theory with an Einstein gravity dual, the Ryu-Takayanagi prescription tells us that we must compute the area of an extremal surface anchored to the entangling region. However, if the dual gravity theory receives higher-curvature corrections we are compelled to extremize a quantity which is no longer given by the area but a higher-derivative functional. Hence, in order to find the extremal surface that yields the correct value of the entanglement entropy, we must include an additional boundary condition to the problem. We claim that the additional condition can be fixed by demanding that the relationship between the bulk depth and the size of the entangling region is the one induced by geodesics, we call this the free-kick condition. We implement this prescription in the computation of the entanglement entropy of the hairy black hole in new massive gravity, and find a perfect agreement with conformal field theory expectations.
Articolo in rivista - Articolo scientifico
Entanglement entropy, Gauge/string duality, Conformal field theory
English
2015
92
4
046010
none
Hosseini, S., Véliz Osorio, Á. (2015). Free-kick condition for entanglement entropy in higher curvature gravity. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 92(4) [10.1103/PhysRevD.92.046010].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/91355
Citazioni
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
Social impact