Free partition functions and an averaged holographic duality
Abstract
We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result leads us to conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with symmetry and a composite boundary graviton. Additionally, for small central charge , we obtain general constraints on the spectral gap of free CFTs using the spinning modular bootstrap, construct examples of Narain compactifications with a large gap, and find an analytic bootstrap functional corresponding to a single self-dual boson.
Keywords
Cite
@article{arxiv.2006.04839,
title = {Free partition functions and an averaged holographic duality},
author = {Nima Afkhami-Jeddi and Henry Cohn and Thomas Hartman and Amirhossein Tajdini},
journal= {arXiv preprint arXiv:2006.04839},
year = {2021}
}
Comments
47 pages, 7 figures