ICTS:29456

Video URL

The non-perturbative Hilbert space of JT gravity

The non-perturbative Hilbert space of JT gravity

(2024). The non-perturbative Hilbert space of JT gravity. SciVideos. https://youtu.be/komCjsjcY5U

The non-perturbative Hilbert space of JT gravity. SciVideos, Aug. 28, 2024, https://youtu.be/komCjsjcY5U 

          @misc{ scivideos_ICTS:29456,
            doi = {},
            url = {https://youtu.be/komCjsjcY5U},
            author = {},
            keywords = {},
            language = {en},
            title = {The non-perturbative Hilbert space of JT gravity},
            publisher = {},
            year = {2024},
            month = {aug},
            note = {ICTS:29456 see, \url{https://scivideos.org/icts-tifr/29456}}
          }
Adam Levine
Talk numberICTS:29456
Source RepositoryICTS-TIFR
Source EventQuantum Information, Quantum Field Theory and Gravity
Collection

Abstract

What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing the first example of an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter state, but with a non-trivial and highly degenerate inner product. We explicitly identify the null states, and discuss their importance for defining operators non-perturbatively. To highlight the power of the formalism we developed, we study the non-perturbative effects for two bulk linear operators that may serve as proxies for the experience of an observer falling into a two-sided black hole: one captures the length of an Einstein-Rosen bridge and the other captures the center-of-mass collision energy between two particles falling from opposite sides. We track the behavior of these operators up to times of order eSBH, at which point the wavefunction spreads to the com...