MS Seminar (Mathematics - String Theory)

Speaker: Suvrat Raju (ICTS India)
Title: The Hilbert space and holography of information in de Sitter quantum gravity
Date (JST): Tue, Aug 29, 2023, 13:30 - 15:00
Place: Seminar Room A
Abstract: We obtain all solutions of the Wheeler-DeWitt equation with positive
cosmological constant for a closed universe in the large-volume limit.
We define a natural norm on the solution space and thereby obtain a
description of the Hilbert space of quantum gravity in an asymptotically
de Sitter spacetime. This provides the finite G_N generalization of the
Hilbert space constructed by Higuchi using group averaging. All the
states in this Hilbert space share the symmetries of the Euclidean
vacuum. We use this property to generalize the principle of holography
of information to de Sitter space: cosmological correlators (defined as
appropriately gauge-fixed observables) in an arbitrary small region
suffice to completely specify them everywhere.