AdS$_3$ wormholes from a modular bootstrap
Abstract
In recent work we computed the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. Here we employ a modular bootstrap to show that the amplitude is completely fixed by consistency conditions and a few basic inputs from gravity. This bootstrap is notably for an ensemble of CFTs, rather than for a single instance. We also compare the 3d gravity result with the Narain ensemble. The former is well-approximated at low temperature by a random matrix theory ansatz, and we conjecture that this behavior is generic for an ensemble of CFTs at large central charge with a chaotic spectrum of heavy operators.
Keywords
Cite
@article{arxiv.2007.15653,
title = {AdS$_3$ wormholes from a modular bootstrap},
author = {Jordan Cotler and Kristan Jensen},
journal= {arXiv preprint arXiv:2007.15653},
year = {2021}
}
Comments
20 pages, 1 figure; v2: typos fixed, reference added; v3: published version, minor typo fixed