skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 W 2. 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]
  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.:
Inst. 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.
Córdova, Clay, Maldacena, Juan, & Turiaci, Gustavo J. Bounds on OPE coefficients from interference effects in the conformal collider. United States. doi:10.1007/jhep11(2017)032.
Córdova, Clay, Maldacena, Juan, and Turiaci, Gustavo J. Wed . "Bounds on OPE coefficients from interference effects in the conformal collider". United States. doi:10.1007/jhep11(2017)032. https://www.osti.gov/servlets/purl/1502488.
@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 = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

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 $\Im$+.

Save / Share:

Works referenced in this record:

Topological censorship
journal, September 1993


On graviton non-gaussianities during inflation
journal, September 2011

  • Maldacena, Juan M.; Pimentel, Guilherme L.
  • Journal of High Energy Physics, Vol. 2011, Issue 9
  • DOI: 10.1007/JHEP09(2011)045

A note on CFT correlators in three dimensions
journal, July 2013

  • Giombi, Simone; Prakash, Shiroman; Yin, Xi
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)105

The gravitational correction to PCAC
journal, July 1972


Gravitational axial anomaly for four-dimensional conformal field theories
journal, November 1999


Averaged null energy condition from causality
journal, July 2017

  • Hartman, Thomas; Kundu, Sandipan; Tajdini, Amirhossein
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)066

Causality and Multiply Connected Space-Time
journal, October 1962


Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
journal, December 1961


AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound
journal, March 2010

  • de Boer, Jan; Kulaxizi, Manuela; Parnachev, Andrei
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)087

Constraining conformal field theories with a slightly broken higher spin symmetry
journal, May 2013


Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP
journal, July 2017

  • Gooth, Johannes; Niemann, Anna C.; Meng, Tobias
  • Nature, Vol. 547, Issue 7663
  • DOI: 10.1038/nature23005

Cosmological Signature of New Parity-Violating Interactions
journal, August 1999


N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory
journal, March 1999


Spinning conformal correlators
journal, November 2011

  • Costa, Miguel S.; Penedones, João; Poland, David
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)071

Relative entropy, mixed gauge-gravitational anomaly and causality
journal, July 2016

  • Bhattacharyya, Arpan; Cheng, Long; Hung, Ling-Yan
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)121

Nonpositivity of the energy density in quantized field theories
journal, April 1965

  • Epstein, H.; Glaser, V.; Jaffe, A.
  • Il Nuovo Cimento, Vol. 36, Issue 3
  • DOI: 10.1007/BF02749799

A new spin on causality constraints
journal, October 2016

  • Hartman, Thomas; Jain, Sachin; Kundu, Sandipan
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)141

A proof of the conformal collider bounds
journal, June 2016

  • Hofman, Diego M.; Li, Daliang; Meltzer, David
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)111

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
journal, September 2016

  • Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)038

Implications of Conformal Invariance in Field Theories for General Dimensions
journal, May 1994


High-scale inflation and the tensor tilt
journal, January 2016

  • Baumann, Daniel; Lee, Hayden; Pimentel, Guilherme L.
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)101

Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
journal, July 2017


On conformal field theories with extremal $ \frac{a}{c} $ values
journal, April 2014


Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

  • Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)020

Gravitational Anomaly and Transport Phenomena
journal, July 2011


Probing polarization states of primordial gravitational waves with cosmic microwave background anisotropies
journal, September 2007

  • Saito, Shun; Ichiki, Kiyotomo; Taruya, Atsushi
  • Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 09
  • DOI: 10.1088/1475-7516/2007/09/002

Scale anomalies, states, and rates in conformal field theory
journal, April 2017

  • Gillioz, Marc; Lu, Xiaochuan; Luty, Markus A.
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)171

Chern-Simons matter theories and higher spin gravity
journal, July 2017

  • Sezgin, Ergin; Skvortsov, Evgeny D.; Zhu, Yaodong
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)133

Gravitational anomalies
journal, April 1984


Hydrodynamics with Triangle Anomalies
journal, November 2009


Parity violation in graviton non-gaussianity
journal, August 2011

  • Soda, Jiro; Kodama, Hideo; Nozawa, Masato
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)067

Conformal collider physics: energy and charge correlations
journal, May 2008


Parity Nonconservation and Rotating Black Holes
journal, November 1978


Quantum Gravity and World Topology
journal, November 1976


Holographic GB gravity in arbitrary dimensions
journal, March 2010

  • Buchel, Alex; Escobedo, Jorge; Myers, Robert C.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)111

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

  • El-Showk, Sheer; Paulos, Miguel F.; Poland, David
  • Journal of Statistical Physics, Vol. 157, Issue 4-5
  • DOI: 10.1007/s10955-014-1042-7

    Works referencing / citing this record:

    Higher spin ANEC and the space of CFTs
    journal, July 2019


      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.