Work

Entanglement entropy in top-down models

Year: 2016

Type: article

Abstract: We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entan-glement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduc-tion over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2016)158

Authors: Peter A.R. Jones, Marika Taylor

Institution: University of Southampton

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Aspen Center for Physics, Engineering and Physical Sciences Research Council, Science and Technology Facilities Council

Awards: G2639239629, G4357913612, Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics, G8896167186