Free partition functions and an averaged holographic duality

By N. Afkhami-Jeddi, Henry Cohn, Thomas Hartman, Amirhossein Tajdini. Journal of High Energy Physics, 2020

142 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/14e160bbc046344efd4314eae3978a3b39aec121

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In Geometry and Topology

1. G. Turiaci
2. A. Maloney
3. E. Witten
4. Henry Maxfield
5. D. Gaiotto
6. Tudor Dimofte
7. Sergei Gukov
8. Mina Aganagic

In Nuclear and High Energy Physics

1. G. Turiaci
2. A. Maloney
3. Henry Maxfield
4. E. Witten
5. Jordan S. Cotler
6. K. Jensen
7. D. Stanford
8. F. Cachazo

Citations in the corpus

• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral (2020, methodology): “For 3D gravity, we instead require a two-dimensional CFT dual, and there is no such obvious candidate ensemble to select from, at least for irrational theories (see [59, 60] for discussion of an ensemble of free theories and the possibility of an exotic gravitational dual).”
• Averaging over Narain moduli space (2020, result): “ell as a sketch of the derivation of the Siegel-Weil formula at genus g>1 and D>1. When this draft was largely complete, we learned of parallel work by Afkhami-Jeddi, Cohn, Hartman, and Tajdini [24]. 2 The Siegel-Weil Formula In Genus One 2.1 A Practice Case: D = 1 We begin by discussing the S”