Non-perturbative aspects of three-dimensional quantum gravity

Funder	Science and Technology Facilities Council
Recipient Organization	University of Cambridge
Country	United Kingdom
Start Date	Sep 30, 2023
End Date	Mar 30, 2027
Duration	1,277 days
Number of Grantees	1
Roles	Student
Data Source	UKRI Gateway to Research
Grant ID	`2882187`

Grant Description

This project will focus on various non-perturbative aspects of three-dimensional quantum gravity. It will cover cases with positive (dS) and negative (AdS) cosmological constant.

Tools that will be used are related to AdS/CFT, the Chern-Simons formulation of the theory, and exact methods in two-dimensional conformal field theories.

For AdS, the overarching aim is to construct a gravitational path integral and find a result that describes a unitary quantum theory.

For dS, one aspect is to quantify the Hartle-Hawking wave function of the universe, and test the stability of quantum de Sitter space.