skip to main content

DOE PAGESDOE PAGES

Title: Reflections on conformal spectra

Here, 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 Δ 0 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 Δ 0 as well as for large Δ 0. 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.
Authors:
 [1] ;  [1] ;  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States); Institute for Advanced Study, Princeton, NJ (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States); Institute for Advanced Study, Princeton, NJ (United States); Univ. of Tokyo, Kashiwa (Tokyo)
Publication Date:
Grant/Contract Number:
SC0011632
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Field Theories in Higher Dimensions
OSTI Identifier:
1435771

Kim, Hyungrok, Kravchuk, Petr, and Ooguri, Hirosi. Reflections on conformal spectra. United States: N. p., Web. doi:10.1007/JHEP04(2016)184.
Kim, Hyungrok, Kravchuk, Petr, & Ooguri, Hirosi. Reflections on conformal spectra. United States. doi:10.1007/JHEP04(2016)184.
Kim, Hyungrok, Kravchuk, Petr, and Ooguri, Hirosi. 2016. "Reflections on conformal spectra". United States. doi:10.1007/JHEP04(2016)184. https://www.osti.gov/servlets/purl/1435771.
@article{osti_1435771,
title = {Reflections on conformal spectra},
author = {Kim, Hyungrok and Kravchuk, Petr and Ooguri, Hirosi},
abstractNote = {Here, 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.},
doi = {10.1007/JHEP04(2016)184},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}