The Hilbert space & holography of information in de Sitter quantum gravity
Event details
| Date | 06.11.2023 |
| Hour | 14:00 › 15:00 |
| Speaker | Priyadarshi Paul |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract : We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity in an asymptotically de Sitter spacetime. Our solutions take the form of a universal phase factor multiplied by distinct diffeomorphism invariant functionals, with simple Weyl transformation properties, that obey the same Ward identities as a CFT partition function. Each functional can be thought of as specifying a “theory” and, in this sense, the space of solutions is like “theory space”.
We propose that the norm on this space of solutions is obtained by integrating the squared wavefunctional over field configurations and dividing by the volume of the diff-and-Weyl group. We apply our formalism to cosmological correlators and propose that they should be understood as gauge-fixed observables. In a theory of quantum gravity, we demonstrate a version of the principle of holography of information: cosmological correlators in an arbitrarily small region suffice to completely specify the state.
References : 2303.16315, 2303.16316
We propose that the norm on this space of solutions is obtained by integrating the squared wavefunctional over field configurations and dividing by the volume of the diff-and-Weyl group. We apply our formalism to cosmological correlators and propose that they should be understood as gauge-fixed observables. In a theory of quantum gravity, we demonstrate a version of the principle of holography of information: cosmological correlators in an arbitrarily small region suffice to completely specify the state.
References : 2303.16315, 2303.16316
Practical information
- Informed public
- Free
Organizer
- Xiang Zhao
Contact
- Xiang Zhao