Free partition functions and an averaged holographic duality

被引：127

作者：

Afkhami-Jeddi, Nima ^{[1
,2
]}

Cohn, Henry ^{[3
]}

Hartman, Thomas ^{[4
]}

Tajdini, Amirhossein ^{[4
]}

机构：

[1] Univ Chicago, Enrico Fermi Inst, 5640 S Ellis Ave, Chicago, IL 60637 USA

[2] Univ Chicago, Kadanoff Ctr Theoret Phys, Chicago, IL 60637 USA

[3] Microsoft Res New England, Cambridge, MA USA

[4] Cornell Univ, Dept Phys, Ithaca, NY 14853 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 01期

关键词：

AdS-CFT Correspondence; Conformal Field Theory;

D O I：

10.1007/JHEP01(2021)130

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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)xU(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.

引用

页数：43

共 92 条

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