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AdS$_3$ gravity and random CFT | | Jordan Cotler
; Kristan Jensen
; | | Date: |
15 Jun 2020 | | 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 AdS$_3$ 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. | | Source: | arXiv, 2006.8648 | | Services: | Forum | Review | PDF | Favorites | |
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