Celestial operator product expansions and w1+∞ symmetry for all spins

Himwich, E.; Pate, M.; Singh, K.

doi:10.1007/jhep01(2022)080

Title: Celestial operator product expansions and w_1+∞symmetry for all spins

Abstract

The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set of recursion relations on the operator product expansion coefficients of the leading singular terms at tree-level in a holomorphic limit. The symmetry constraints are solved by an Euler beta function with arguments that depend simply on the right-moving conformal weights of the operators in the product. These symmetry-derived coefficients are shown not only to match precisely those arising from momentum-space tree-level collinear limits, but also to obey an infinite number of additional symmetry transformations that respect the algebra of w_1+∞. In tree-level minimally-coupled gravitational theories, celestial currents are constructed from light transforms of conformally soft gravitons and found to generate the action of w_1+∞on arbitrary massless celestial primaries. Results include operator product expansion coefficients for fermions as well as those arising from higher-derivative non-minimal couplings of gluons and gravitons.

Authors:

Himwich, E. ^[1];

^[1]; Singh, K. ^[2]

Harvard University, Cambridge, MA (United States)
University of Pennsylvania, Philadelphia, PA (United States)

Publication Date:: Mon Jan 17 00:00:00 EST 2022

Research Org.:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); John Templeton Foundation; Gordon and Betty Moore Foundation; Harvard Society of Fellows

OSTI Identifier:: 1976430

Grant/Contract Number:: SC0007870

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: 2022; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; scattering amplitudes; space-time symmetries; conformal and W symmetry

Citation Formats


                    Himwich, E., Pate, M., and Singh, K. Celestial operator product expansions and w1+∞ symmetry for all spins.  United States: N. p., 2022. 
Web.  doi:10.1007/jhep01(2022)080.

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                    Himwich, E., Pate, M., & Singh, K. Celestial operator product expansions and w1+∞ symmetry for all spins.  United States.  https://doi.org/10.1007/jhep01(2022)080

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                    Himwich, E., Pate, M., and Singh, K. Mon .  
"Celestial operator product expansions and w1+∞ symmetry for all spins".  United States.  https://doi.org/10.1007/jhep01(2022)080.  https://www.osti.gov/servlets/purl/1976430.

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@article{osti_1976430,

  title        = {Celestial operator product expansions and w1+∞ symmetry for all spins},

  author       = {Himwich, E. and Pate, M. and Singh, K.},

  abstractNote = {The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set of recursion relations on the operator product expansion coefficients of the leading singular terms at tree-level in a holomorphic limit. The symmetry constraints are solved by an Euler beta function with arguments that depend simply on the right-moving conformal weights of the operators in the product. These symmetry-derived coefficients are shown not only to match precisely those arising from momentum-space tree-level collinear limits, but also to obey an infinite number of additional symmetry transformations that respect the algebra of w1+∞. In tree-level minimally-coupled gravitational theories, celestial currents are constructed from light transforms of conformally soft gravitons and found to generate the action of w1+∞ on arbitrary massless celestial primaries. Results include operator product expansion coefficients for fermions as well as those arising from higher-derivative non-minimal couplings of gluons and gravitons.},

  doi          = {10.1007/jhep01(2022)080},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 1,

  volume       = 2022,

  place        = {United States},

  year         = {Mon Jan 17 00:00:00 EST 2022},

  month        = {Mon Jan 17 00:00:00 EST 2022}

}

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Title: Celestial operator product expansions and w1+∞ symmetry for all spins

Abstract

Citation Formats

Holographic symmetry algebras for gauge theory and gravity journal, November 2021

Celestial diamonds: conformal multiplets in celestial CFT journal, November 2021

Celestial superamplitude in $$ \mathcal{N} $$ = 4 SYM theory journal, August 2021

The soft $$ \mathcal{S} $$-matrix in gravity journal, September 2020

Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities journal, May 2018

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State-operator correspondence in celestial conformal field theory journal, September 2021

Primary fields in celestial CFT journal, October 2019

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4D scattering amplitudes and asymptotic symmetries from 2D CFT journal, January 2017

Extended super BMS algebra of celestial CFT journal, September 2020

Soft Photon and Graviton Theorems in Effective Field Theory journal, June 2017

All-order collinear behavior in gauge theories journal, July 1999

MHV gluon scattering amplitudes from celestial current algebras journal, October 2021

Light-ray operators in conformal field theory journal, November 2018

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MHV graviton scattering amplitudes and current algebra on the celestial sphere journal, February 2021

Celestial amplitudes: conformal partial waves and soft limits journal, October 2019

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(2, 2) Scattering and the celestial torus journal, July 2021

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Centrally extended BMS4 Lie algebroid journal, June 2017

2D Kac-Moody symmetry of 4D Yang-Mills theory journal, October 2016

Shifting spin on the celestial sphere journal, October 2021

Celestial amplitudes and conformal soft theorems journal, September 2019

Soft factorization in QED from 2D Kac-Moody symmetry journal, February 2018

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Symmetries of celestial amplitudes journal, June 2019

Infinite soft theorems from gauge symmetry journal, August 2018

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Celestial operator products of gluons and gravitons journal, July 2021

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Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix journal, August 2014

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Asymptotic symmetries and subleading soft photon theorem in effective field theories journal, May 2018

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Title: Celestial operator product expansions and w_1+∞symmetry for all spins

Holographic symmetry algebras for gauge theory and gravity
journal, November 2021

Celestial diamonds: conformal multiplets in celestial CFT
journal, November 2021

Celestial superamplitude in $$ \mathcal{N} $$ = 4 SYM theory
journal, August 2021

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Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
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State-operator correspondence in celestial conformal field theory
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Primary fields in celestial CFT
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4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

Extended super BMS algebra of celestial CFT
journal, September 2020

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journal, June 2017

All-order collinear behavior in gauge theories
journal, July 1999

MHV gluon scattering amplitudes from celestial current algebras
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Light-ray operators in conformal field theory
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Conformal properties of soft-operators. Part II. Use of null-states
journal, February 2020

MHV graviton scattering amplitudes and current algebra on the celestial sphere
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Celestial amplitudes: conformal partial waves and soft limits
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journal, December 2021

Conformally soft theorem in gauge theory
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(2, 2) Scattering and the celestial torus
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Celestial current algebra from Low’s subleading soft theorem
journal, September 2019

Centrally extended BMS4 Lie algebroid
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journal, October 2016

Shifting spin on the celestial sphere
journal, October 2021

Celestial amplitudes and conformal soft theorems
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Conformally soft photons and gravitons
journal, January 2019

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

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journal, June 2019

Infinite soft theorems from gauge symmetry
journal, August 2018

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journal, July 2021

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journal, March 2020

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix
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journal, April 2020

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journal, September 2017

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journal, November 2014

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journal, September 2015

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journal, May 2005

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journal, September 2017