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 11266708. doi:10.1007/JHEP09(2014)118. https://resolver.caltech.edu/CaltechAUTHORS:20141024111126900

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Abstract
Twodimensional 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 threedimensional 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 nonuniversal ‘enigma’ saddlepoints in the thermodynamics of 3d gravity.
Item Type:  Article  

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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 PHY1125915. CAK is supported by the Rutgers New High Energy Theory Center and by U.S. DOE Grants No. DOESC0010008, DOEARRASC0003883 and DOEDESC0007897. 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. DESC0011632. BS would like to thank the Kavli Institute For Theoretical Physics for hospitality.  
Group:  Walter Burke Institute for Theoretical Physics  
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Subject Keywords:  Field Theories in Lower Dimensions; AdSCFT Correspondence  
Issue or Number:  9  
DOI:  10.1007/JHEP09(2014)118  
Record Number:  CaltechAUTHORS:20141024111126900  
Persistent URL:  https://resolver.caltech.edu/CaltechAUTHORS:20141024111126900  
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), 129. doi: 10.1007/jhep09(2014)118  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  50786  
Collection:  CaltechAUTHORS  
Deposited By:  INVALID USER  
Deposited On:  24 Oct 2014 18:53  
Last Modified:  10 Nov 2021 19:00 
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