# Semiclassical analysis of finite cut-off JT gravity on a disk

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Soumyadeep Chaudhuri
- Year: 2024
- Language: English
- Subjects: Mathematics
- Source: [CERN](https://videos.cern.ch/record/3001601)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

In this talk I will present the computation of the partition function of finite cut-off 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.

## Lectures

1. [Semiclassical analysis of finite cut-off JT gravity on a disk](https://invisiblenetwork.ai/learn/cern/3001601/a53af3bd35cc), 1 h 11 min (CERN's player)