Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 2014 | Submitted + Published
Journal Article Open

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


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.

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.

Attached Files

Published - art_10.1007_JHEP09_2014_118.pdf

Submitted - 1405.5137v2.pdf


Files (1.3 MB)
Name Size Download all
678.0 kB Preview Download
647.1 kB Preview Download

Additional details

August 22, 2023
October 18, 2023