| Title: |
Free partition functions and an averaged holographic duality |
| Authors: |
Afkhami-Jeddi, Nima; Cohn, Henry; Hartman, Thomas; Tajdini, Amirhossein |
| Source: |
J. High Energ. Phys. 01 (2021) 130 |
| Publication Year: |
2020 |
| Collection: |
High Energy Physics - Theory |
| Subject Terms: |
High Energy Physics - Theory |
| Description: |
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 $U(1)^c \times U(1)^c$ 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.; Comment: 47 pages, 7 figures |
| Document Type: |
Working Paper |
| DOI: |
10.1007/JHEP01(2021)130 |
| Access URL: |
http://arxiv.org/abs/2006.04839 |
| Accession Number: |
edsarx.2006.04839 |
| Database: |
arXiv |