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Title: Bounds on OPE coefficients from interference effects in the conformal collider

Abstract

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, ⟨TTO⟩, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimensional CFTs, which are encoded in three-point functions of the form ⟨TTJ⟩. In theories with a large N AdS dual we translate these bounds into constraints on the coefficient of a higher derivative bulk term of the form ∫Φ W2. We speculate that these bounds also apply in de-Sitter. In this case our results constrain inflationary observables, such as the amplitude for chiral gravity waves that originate from higher derivative terms in the Lagrangian of the form Φ W W*.

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. Inst. for Advanced Study, Princeton, NJ (United States), School of Natural Sciences
  2. Princeton Univ., NJ (United States). Dept. of Physics
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502488
Grant/Contract Number:  
SC0009988
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory; Anomalies in Field and String Theories

Citation Formats

Córdova, Clay, Maldacena, Juan, and Turiaci, Gustavo J. Bounds on OPE coefficients from interference effects in the conformal collider. United States: N. p., 2017. Web. doi:10.1007/jhep11(2017)032.
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Córdova, Clay, Maldacena, Juan, & Turiaci, Gustavo J. Bounds on OPE coefficients from interference effects in the conformal collider. United States. https://doi.org/10.1007/jhep11(2017)032
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Córdova, Clay, Maldacena, Juan, and Turiaci, Gustavo J. Wed . "Bounds on OPE coefficients from interference effects in the conformal collider". United States. https://doi.org/10.1007/jhep11(2017)032. https://www.osti.gov/servlets/purl/1502488.
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@article{osti_1502488,
title = {Bounds on OPE coefficients from interference effects in the conformal collider},
author = {Córdova, Clay and Maldacena, Juan and Turiaci, Gustavo J.},
abstractNote = {We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, ⟨TTO⟩, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimensional CFTs, which are encoded in three-point functions of the form ⟨TTJ⟩. In theories with a large N AdS dual we translate these bounds into constraints on the coefficient of a higher derivative bulk term of the form ∫Φ W2. We speculate that these bounds also apply in de-Sitter. In this case our results constrain inflationary observables, such as the amplitude for chiral gravity waves that originate from higher derivative terms in the Lagrangian of the form Φ W W*.},
doi = {10.1007/jhep11(2017)032},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {Wed Nov 08 00:00:00 EST 2017},
month = {Wed Nov 08 00:00:00 EST 2017}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/jhep11(2017)032
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Cited by: 43 works
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Figures / Tables:

Figure 1 Figure 1: In the conformal collider experiment (a), the energy created by a localized excitation (blue) is measured far away by a calorimeter (red). (b) For a CFT, this is equivalent to measuring the energy at null infinity $\Im$+.
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