Year: 2021
Type: article
Abstract: A bstract 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 U(1) c × U(1) c symmetry and a composite boundary graviton. Additionally, for small central charge c , 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.
Source: Journal of High Energy Physics
Authors: Nima Afkhami-Jeddi, Henry Cohn, Thomas Hartman, Amirhossein Tajdini
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: Simons Foundation, University of Chicago
OpenAlex ID: W3035359832