Triangulating Quantum Gravity in AdS_3

Who: Tom Hartman (Cornell University)
When: Thursday, October 16, 2pm
Where: KITP Simons Amphitheater
Title: Triangulating Quantum Gravity in AdS_3
Abstract:
I will discuss the path integral of pure 3D gravity on a finite region of spacetime, with boundary conditions that fix dihedral angles or geodesic lengths. This amplitude calculates corrections to the Gaussian statistics of OPE coefficients in the dual CFT. The fixed-length path integral is related to Virasoro TQFT; the fixed-angle path integral is the partition function of Conformal Turaev-Viro theory, a novel topological theory based on triangulations; and the two are related by a modular S-transform. This leads to a general procedure to calculate the exact path integral on hyperbolic 3-manifolds by gluing together generalized tetrahedra. I will also discuss potential applications to higher dimensions and de Sitter.