Quantum de Sitter Universe

The Hilbert space and holography of information in de Sitter quantum gravity

20 Apr 2023, 14:30

1h

MR2 (Department of Applied Mathematics and Theoretical Physics)

Speaker

Suvrat Raju (Tata Institute for Fundamental Research)

Description

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 the state.

References:
1) https://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Farxiv.org%2Fabs%2F2303.16315&data=05%7C01%7Csa2013%40universityofcambridgecloud.onmicrosoft.com%7C72d94d4a215c457a03bb08db39b04404%7C49a50445bdfa4b79ade3547b4f3986e9%7C1%7C0%7C638167201442246170%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=GA513%2BOv1loyVXDGFLrcOzQ1kLe%2BGwwPRyOgY8xzwmY%3D&reserved=0
2) https://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Farxiv.org%2Fabs%2F2303.16316&data=05%7C01%7Csa2013%40universityofcambridgecloud.onmicrosoft.com%7C72d94d4a215c457a03bb08db39b04404%7C49a50445bdfa4b79ade3547b4f3986e9%7C1%7C0%7C638167201442402424%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=jepOYd51jOgVb7dzX7drGGNw9BhCYUVL0mbi9znCFPM%3D&reserved=0

Presentation materials

suvrat.pdf