On generalized gravitational entropy, squashed cones and holography


Autoria(s): Bhattacharyya, Arpan; Sharma, Menika; Sinha, Aninda
Data(s)

2014

Resumo

We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement entropy for spherical and cylindrical surfaces. This is achieved by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy. We further show that the Wald entropy evaluated in the bulk geometry constructed for the regularized squashed cones leads to the correct universal parts of the entanglement entropy for both spherical and cylindrical entangling surfaces. We comment on the relation with the Iyer-Wald formula for dynamical horizons relating entropy to a Noether charge. Finally we show how to derive the entangling surface equation in Gauss-Bonnet holography.

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/48365/1/jou_hig_ene_phy-1_2014.pdf

Bhattacharyya, Arpan and Sharma, Menika and Sinha, Aninda (2014) On generalized gravitational entropy, squashed cones and holography. In: JOURNAL OF HIGH ENERGY PHYSICS (1).

Publicador

SPRINGER

Relação

http://dx.doi.org/10.1007/JHEP01(2014)021

http://eprints.iisc.ernet.in/48365/

Palavras-Chave #Centre for High Energy Physics
Tipo

Journal Article

PeerReviewed