PIRSA:18110090

Superselection Sectors of Gravitational Subregions

Camps, J. (2018). Superselection Sectors of Gravitational Subregions . Perimeter Institute. https://pirsa.org/18110090

Camps, Joan. Superselection Sectors of Gravitational Subregions . Perimeter Institute, Nov. 22, 2018, https://pirsa.org/18110090 

          @misc{ pirsa_PIRSA:18110090,
            doi = {10.48660/18110090},
            url = {https://pirsa.org/18110090},
            author = {Camps, Joan},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Superselection Sectors of Gravitational Subregions },
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110090 see, \url{https://pirsa.org}}
          }

Joan Camps

University of Cambridge

Talk number
PIRSA:18110090
Collection
Talk Type
Subject
Abstract

Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is imaginary---i.e., that entangling surfaces are not physical. This translates into a certain condition on the symplectic form. We find that gravitational subregions that satisfy this condition are bounded by surfaces of extremal area. We characterise the 'centre variables' of the phase space of the graviton in such subsystems, which can be taken to be the conformal class of the induced metric in the boundary, subject to a constraint involving the traceless part of the extrinsic curvature. We argue that this condition works to discard local deformations of the boundary surface to infinitesimally nearby extremal surfaces, that are otherwise available for generic codimension-2 extremal surfaces of dimension ≥ 2.