Entanglement and the emergence of spacetime

Lead Research Organisation: Durham University
Department Name: Mathematical Sciences

Abstract

A longstanding problem in holography is to understand the emergence of the higher-dimensional spacetime from the dual field theory. One of the most important insights comes from the Ryu-Takayanagi relation between the entanglement entropy of the reduced density matrix for a spatial region and the area of a minimal surface in the bulk. This has recently been extended to show that at first subleading order in bulk quantum corrections, the boundary entanglement entropy includes the entanglement entropy of bulk fields in the region between the minimal surface and the boundary, showing that this region is described by the boundary reduced density matrix. The project will further investigate these quantum corrections for different field theory states, aiming to build up a quantum notion of area in the bulk.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
ST/R504713/1 01/10/2017 30/09/2021
1918023 Studentship ST/R504713/1 01/10/2017 31/03/2021 Andrew Davis Scoins