In this talk I will present the computation of the partition function of finite cutoff JT gravity (with positive, zero or negative curvature) defined on a disk and coupled to conformal matter with central charge c. The analysis is done in a regime where c is a large negative number, while the magnitude of the cosmological constant scales linearly with c and the length of the boundary of the disk is kept finite. In this regime, the gravitational path integral is dominated by a smooth geometry corresponding to a saddle point of the action. By systematically taking into account the quantum fluctuations about this saddle point, one can obtain a perturbative expansion of the partition function in powers of 1/c. I will present the results for the leading and the first subleading terms in this expansion.
Tuesday
5 Nov/24
14:00

16:00
(Europe/Zurich)
Semiclassical analysis of finite cutoff JT gravity on a disk
Where:
4/2037 at CERN