PIRSA:20060055

Video URL

https://pirsa.org/20060055

AdS3 gravity and random CFT

Cotler, J. (2020). AdS3 gravity and random CFT. Perimeter Institute for Theoretical Physics. https://pirsa.org/20060055

Cotler, Jordan. AdS3 gravity and random CFT. Perimeter Institute for Theoretical Physics, Jun. 16, 2020, https://pirsa.org/20060055 

          @misc{ scivideos_PIRSA:20060055,
            doi = {10.48660/20060055},
            url = {https://pirsa.org/20060055},
            author = {Cotler, Jordan},
            keywords = {Quantum Gravity},
            language = {en},
            title = {AdS3 gravity and random CFT},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060055 see, \url{https://scivideos.org/index.php/pirsa/20060055}}
          }

Jordan Cotler Harvard University

Talk numberPIRSA:20060055
DOI10.48660/20060055
Source RepositoryPIRSA
Talk Type Scientific Series
Subject

Abstract

We compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. These are Euclidean wormholes, which smoothly interpolate between two asymptotically Euclidean AdS3 regions with torus boundary. From our results we obtain the spectral correlations between BTZ black hole microstates near threshold, as well as extract the spectral form factor at fixed momentum, which has linear growth in time with small fluctuations around it. The low-energy limit of these correlations is precisely that of a double-scaled random matrix ensemble with Virasoro symmetry. Our findings suggest that if pure three-dimensional gravity has a holographic dual, then the dual is an ensemble which generalizes random matrix theory.