Reflections on Conformal Spectra

Kim, Hyungrok and Kravchuk, Petr and Ooguri, Hirosi (2016) Reflections on Conformal Spectra. Journal of High Energy Physics, 2016 (4). Art. No. 184. ISSN 1126-6708. doi:10.1007/JHEP04(2016)184. https://resolver.caltech.edu/CaltechAUTHORS:20151104-124350087

	PDF - Published Version Creative Commons Attribution. 612kB
	PDF - Submitted Version See Usage Policy. 337kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20151104-124350087

Abstract

We use modular invariance and crossing symmetry of conformal field theory to reveal approximate reflection symmetries in the spectral decompositions of the partition function in two dimensions in the limit of large central charge and of the four-point function in any dimension in the limit of large scaling dimensions Δ0 of external operators. We use these symmetries to motivate universal upper bounds on the spectrum and the operator product expansion coefficients, which we then derive by independent techniques. Some of the bounds for four-point functions are valid for finite Δ0 as well as for large Δ0. We discuss a similar symmetry in a large spacetime dimension limit. Finally, we comment on the analogue of the Cardy formula and sparse light spectrum condition for the four-point function.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1007/JHEP04(2016)184	DOI	Article
https://arxiv.org/abs/1510.08772	arXiv	Discussion Paper

ORCID:

Author	ORCID
Kravchuk, Petr	0000-0003-0977-3686
Ooguri, Hirosi	0000-0001-6021-3778

Additional Information:

© 2016 The Author(s). 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: March 20, 2016; Accepted: April 11, 2016; Published: April 29, 2016. We thank S. El-Showk, N. Hunter-Jones, C. Keller, Z. Komargodski, Y. Nakayama, S. Rychkov, D. Simmons-Duffin, B. Stoica, and W. Yan for discussion. We also thank S. Rychkov and D. Simmons-Duffin for their comments on the draft of this paper. This work is supported in part by U.S. DOE grant DE-SC0011632, by the WPI Initiative of MEXT, by JSPS KAKENHI Grant Numbers C-26400240 and 15H05895, by the Simons Investigator Award, and by the Walter Burke Institute for Theoretical Physics and the Moore Center for Theoretical Cosmology and Physics at Caltech. We thank the hospitality of the Institute for Advanced Study, where HO is Director’s Visiting Professor. HO also thanks the Aspen Center for Physics and the Simons Center for Geometry and Physics, where parts of this work were done.

Group:

Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-SC0011632
Japan Society for the Promotion of Science (JSPS)	C-26400240
Japan Society for the Promotion of Science (JSPS)	15H05895
Simons Foundation	UNSPECIFIED
Walter Burke Institute for Theoretical Physics, Caltech	UNSPECIFIED
SCOAP3	UNSPECIFIED

Subject Keywords:

Conformal and W Symmetry; Field Theories in Higher Dimensions

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2015-053

Issue or Number:

DOI:

10.1007/JHEP04(2016)184

Record Number:

CaltechAUTHORS:20151104-124350087

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20151104-124350087

Official Citation:

Kim, H., Kravchuk, P. & Ooguri, H. J. High Energ. Phys. (2016) 2016: 184. https://doi.org/10.1007/JHEP04(2016)184

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

61836

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

04 Nov 2015 21:06

Last Modified:

10 Nov 2021 22:54

Repository Staff Only: item control page