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Universal spectrum of 2d conformal field theory in the large c limit

Hartman, Thomas and Keller, Christoph A. and Stoica, Bogdan (2014) Universal spectrum of 2d conformal field theory in the large c limit. Journal of High Energy Physics, 2014 (9). Art. No. 118. ISSN 1126-6708. doi:10.1007/JHEP09(2014)118.

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Two-dimensional conformal field theories exhibit a universal free energy in the high temperature limit T → ∞, and a universal spectrum in the Cardy regime, Δ → ∞. We show that a much stronger form of universality holds in theories with a large central charge c and a sparse light spectrum. In these theories, the free energy is universal at all values of the temperature, and the microscopic spectrum matches the Cardy entropy for all Δ≥c/6 . The same is true of three-dimensional quantum gravity; therefore our results provide simple necessary and sufficient criteria for 2d CFTs to behave holographically in terms of the leading spectrum and thermodynamics. We also discuss several applications to CFT and gravity, including operator dimension bounds derived from the modular bootstrap, universality in symmetric orbifolds, and the role of non-universal ‘enigma’ saddlepoints in the thermodynamics of 3d gravity.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Keller, Christoph A.0000-0003-2592-2012
Additional Information:© The Authors. Open Access, Article funded by SCOAP3. Published for SISSA by Springer. Received: July 9, 2014; revised: August 30, 2014; accepted: September 3, 2014; published: September 22, 2014. We thank Dionysios Anninos, Daniel Friedan, Matthias Gaberdiel, Alex Maloney, Don Marolf, Greg Moore, Hirosi Ooguri, Eric Perlmutter, Andrea Puhm, and Andy Strominger for useful discussions. TH is supported by the National Science Foundation under Grant No. NSF PHY11-25915. CAK is supported by the Rutgers New High Energy Theory Center and by U.S. DOE Grants No. DOE-SC0010008, DOE-ARRA-SC0003883 and DOE-DESC0007897. CAK thanks the Harvard University High Energy Theory Group for hospitality. BS is supported in part by a Dominic Orr Graduate Fellowship and by U.S. DOE Grant No. DE-SC0011632. BS would like to thank the Kavli Institute For Theoretical Physics for hospitality.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Rutgers New High Energy Theory CenterUNSPECIFIED
Department of Energy (DOE)DOE-SC0010008
Department of Energy (DOE)DOE-ARRA-SC0003883
Department of Energy (DOE)DOE-DESC0007897
Dominic Orr Graduate FellowshipUNSPECIFIED
Harvard University High Energy Theory GroupUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Kavli Institute For Theoretical PhysicsUNSPECIFIED
Subject Keywords:Field Theories in Lower Dimensions; AdS-CFT Correspondence
Issue or Number:9
Record Number:CaltechAUTHORS:20141024-111126900
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Official Citation:Hartman, T., Keller, C., & Stoica, B. (2014). Universal spectrum of 2d conformal field theory in the large c limit. Journal of High Energy Physics, 2014(9), 1-29. doi: 10.1007/jhep09(2014)118
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50786
Deposited On:24 Oct 2014 18:53
Last Modified:10 Nov 2021 19:00

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