AdS3 gravity and random CFT

By Jordan S. Cotler, K. Jensen. Journal of High Energy Physics, 2020

151 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/db505b5775525babc1d84f54b02cb1e29f0be945

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In Astronomy and Astrophysics

1. J. de Boer
2. Alexandre Belin
3. G. Turiaci
4. Henry Maxfield

In Nuclear and High Energy Physics

1. J. de Boer
2. Alexandre Belin
3. Henry Maxfield
4. G. Turiaci
5. Tom Mertens
6. Luca V. Iliesiu

In Statistical and Nonlinear Physics

1. J. de Boer
2. Alexandre Belin
3. G. Turiaci
4. Henry Maxfield
5. Tom Mertens

Citations in the corpus

• Random statistics of OPE coefficients and Euclidean wormholes (2020, background): “A related investigation will be carried out in [34].”
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral (2020, methodology): “The geometries we studied are Seifert three-manifolds, which may be a tractable class of manifolds on which to study the gravitational path integral more completely, for example generalizing the methods of [75] and [56].”