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Higher spin ANEC and the space of CFTs

Meltzer, David (2019) Higher spin ANEC and the space of CFTs. Journal of High Energy Physics, 2019 (7). Art. No. 001. ISSN 1029-8479. doi:10.1007/jhep07(2019)001.

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We study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin generalizations of the averaged null energy condition (ANEC). By studying higher spin ANEC, we will derive new bounds on the dimensions of charged, spinning operators and prove that if the Hofman-Maldacena bounds are saturated, then the theory has a higher spin symmetry. We also derive new, general bounds on CFTs, with an emphasis on theories whose spectrum is close to that of a generalized free field theory. As an example, we consider the Ising CFT and show how the OPE structure of the leading Regge trajectory is constrained by causality. Finally, we use the analytic bootstrap to perform additional checks, in a large class of CFTs, that higher spin ANEC is obeyed at large and finite spin. In the process, we calculate corrections to large spin OPE coefficients to one-loop and higher in holographic CFTs.

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Additional Information:© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: May 9, 2019; Accepted: June 8, 2019; Published: July 1, 2019. I would like to thank Nima Afkhami-Jeddi, Soner Albayrak, Dean Carmi, Clay Córdova, Tom Hartman, Amir Hossein Tajdini, Zohar Komargodski, Filip Kos, Petr Kravchuk, Arvin Shahbazi Moghaddam, David Poland, David Simmons-Duffin, Gustavo Turiaci, and Alessandro Vichi for discussions. I also grateful to Soner Albayrak and David Simmons-Duffin for comments on the draft and Eric Perlmutter for collaboration during the early stages of this project. This work was supported by NSF grant PHY-1350180, Simons Foundation grant 488651, and a Sherman Fairchild Postdoctoral Fellowship.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488651
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field Theory; Higher Spin Symmetry
Issue or Number:7
Record Number:CaltechAUTHORS:20190710-130028850
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Official Citation:Meltzer, D. J. High Energ. Phys. (2019) 2019: 1.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97030
Deposited By: Tony Diaz
Deposited On:10 Jul 2019 20:56
Last Modified:16 Nov 2021 17:25

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