Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills

Mago, Jorge; Schreiber, Anders; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP10(2019)099

Title: Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills

Abstract

We conjecture that every rational Yangian invariant in $$ \mathcal{N} $$ = 4 SYM theory satisfies a recently introduced notion of cluster adjacency. We provide evidence for this conjecture by using the Sklyanin Poisson bracket on Gr(4, n) to check numerous examples.

Authors:

Mago, Jorge ^[1]; Schreiber, Anders ^[1]; Spradlin, Marcus ^[1]; Volovich, Anastasia ^[1]

Brown Univ., Providence, RI (United States)

Publication Date:: Tue Oct 08 00:00:00 EDT 2019

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1594822

Grant/Contract Number:: SC0010010

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: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Supersymmetric Gauge Theory

Citation Formats


                    Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, and Volovich, Anastasia. Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP10(2019)099.

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                    Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, & Volovich, Anastasia. Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills.  United States.  https://doi.org/10.1007/JHEP10(2019)099

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                    Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, and Volovich, Anastasia. Tue .  
"Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills".  United States.  https://doi.org/10.1007/JHEP10(2019)099.  https://www.osti.gov/servlets/purl/1594822.

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@article{osti_1594822,

  title        = {Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills},

  author       = {Mago, Jorge and Schreiber, Anders and Spradlin, Marcus and Volovich, Anastasia},

  abstractNote = {We conjecture that every rational Yangian invariant in $ \mathcal{N} $ = 4 SYM theory satisfies a recently introduced notion of cluster adjacency. We provide evidence for this conjecture by using the Sklyanin Poisson bracket on Gr(4, n) to check numerous examples.},

  doi          = {10.1007/JHEP10(2019)099},

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

  number       = 10,

  volume       = 2019,

  place        = {United States},

  year         = {Tue Oct 08 00:00:00 EDT 2019},

  month        = {Tue Oct 08 00:00:00 EDT 2019}

}

Copy to clipboard

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Title: Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills

Abstract

Citation Formats

Cluster polylogarithms for scattering amplitudes journal, November 2014

Multi-loop positivity of the planar N $$ \mathcal{N} $$ = 4 SYM six-point amplitude journal, February 2017

Heptagons from the Steinmann cluster bootstrap journal, February 2017

Dual superconformal symmetry of scattering amplitudes in super-Yang–Mills theory journal, March 2010

Motivic amplitudes and cluster coordinates text, January 2014

A cluster bootstrap for two-loop MHV amplitudes journal, February 2015

Bootstrapping an NMHV amplitude through three loops journal, October 2014

Dual superconformal invariance, momentum twistors and Grassmannians journal, November 2009

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points text, January 2016

Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills journal, December 2011

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations journal, December 2016

Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory journal, May 2009

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points journal, August 2016

Motivic amplitudes and cluster coordinates journal, January 2014

Optical theorems and steinmann relations journal, April 1975

Grassmannian Geometry of Scattering Amplitudes book, May 2016

Some algebraic structures connected with the Yang?Baxter equation journal, January 1983

Local spacetime physics from the Grassmannian journal, January 2011

Unification of residues and Grassmannian dualities journal, January 2011

Six-Gluon Amplitudes in Planar ${\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops text, January 2019

Amplitude for n -Gluon Scattering journal, June 1986

An analytic result for the two-loop seven-point MHV amplitude in N $$ \mathcal{N} $$ = 4 SYM journal, August 2014

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon journal, March 2015

All tree-level amplitudes in 𝒩 = 4 SYM journal, April 2009

Heptagons from the Steinmann Cluster Bootstrap text, January 2017

Weak separation and plabic graphs journal, February 2015

The four-loop six-gluon NMHV ratio function journal, January 2016

The Grassmannian origin of dual superconformal invariance journal, March 2010

Yangians, Grassmannians and T-duality journal, July 2010

The Sklyanin bracket and cluster adjacency at all multiplicity journal, March 2019

Weak separation, positivity and extremal Yangian invariants journal, September 2019

Eliminating spurious poles from gauge-theoretic amplitudes journal, May 2013

On the classification of residues of the Grassmannian journal, October 2011

Jumpstarting the all-loop S-matrix of planar $ \mathcal{N} = {4} $ super Yang-Mills journal, July 2012

The Yangian origin of the Grassmannian integral journal, December 2010

Cluster algebras and the subalgebra constructibility of the seven-particle remainder function journal, January 2019

Cluster Adjacency Properties of Scattering Amplitudes in N = 4 Supersymmetric Yang-Mills Theory journal, April 2018

Cluster adjacency beyond MHV journal, March 2019

Cluster adjacency and the four-loop NMHV heptagon journal, March 2019

Cluster Algebras and Poisson Geometry journal, January 2003

Conformal invariance in N = 4 supersymmetric Yang-Mills theory journal, April 1981

A current algebra for some gauge theory amplitudes journal, November 1988

Eliminating spurious poles from gauge-theoretic amplitudes preprint, January 2009

Dual Superconformal Invariance, Momentum Twistors and Grassmannians text, January 2009

Local Spacetime Physics from the Grassmannian text, January 2009

Unification of Residues and Grassmannian Dualities text, January 2009

Yangians, Grassmannians and T-duality text, January 2010

On the Classification of Residues of the Grassmannian text, January 2010

Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills text, January 2011

Bootstrapping an NMHV amplitude through three loops text, January 2014

Cluster Functions and Scattering Amplitudes for Six and Seven Points preprint, January 2015

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations text, January 2016

Heptagons from the Steinmann Cluster Bootstrap text, January 2016

Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function text, January 2018

The Sklyanin Bracket and Cluster Adjacency at All Multiplicity text, January 2019

Weak Separation, Positivity and Extremal Yangian Invariants text, January 2019

Cluster polylogarithms for scattering amplitudes
journal, November 2014

Multi-loop positivity of the planar N $$ \mathcal{N} $$ = 4 SYM six-point amplitude
journal, February 2017

Heptagons from the Steinmann cluster bootstrap
journal, February 2017

Dual superconformal symmetry of scattering amplitudes in super-Yang–Mills theory
journal, March 2010

Motivic amplitudes and cluster coordinates
text, January 2014

A cluster bootstrap for two-loop MHV amplitudes
journal, February 2015

Bootstrapping an NMHV amplitude through three loops
journal, October 2014

Dual superconformal invariance, momentum twistors and Grassmannians
journal, November 2009

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
text, January 2016

Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills
journal, December 2011

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
journal, December 2016

Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory
journal, May 2009

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
journal, August 2016

Motivic amplitudes and cluster coordinates
journal, January 2014

Optical theorems and steinmann relations
journal, April 1975

Grassmannian Geometry of Scattering Amplitudes
book, May 2016

Some algebraic structures connected with the Yang?Baxter equation
journal, January 1983

Local spacetime physics from the Grassmannian
journal, January 2011

Unification of residues and Grassmannian dualities
journal, January 2011

Six-Gluon Amplitudes in Planar ${\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
text, January 2019

Amplitude for $n$ -Gluon Scattering
journal, June 1986

An analytic result for the two-loop seven-point MHV amplitude in N $$ \mathcal{N} $$ = 4 SYM
journal, August 2014

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon
journal, March 2015

All tree-level amplitudes in 𝒩 = 4 SYM
journal, April 2009

Heptagons from the Steinmann Cluster Bootstrap
text, January 2017

Weak separation and plabic graphs
journal, February 2015

The four-loop six-gluon NMHV ratio function
journal, January 2016

The Grassmannian origin of dual superconformal invariance
journal, March 2010

Yangians, Grassmannians and T-duality
journal, July 2010

The Sklyanin bracket and cluster adjacency at all multiplicity
journal, March 2019

Weak separation, positivity and extremal Yangian invariants
journal, September 2019

Eliminating spurious poles from gauge-theoretic amplitudes
journal, May 2013

On the classification of residues of the Grassmannian
journal, October 2011

Jumpstarting the all-loop S-matrix of planar $ \mathcal{N} = {4} $ super Yang-Mills
journal, July 2012

The Yangian origin of the Grassmannian integral
journal, December 2010

Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
journal, January 2019

Cluster Adjacency Properties of Scattering Amplitudes in $N = 4$ Supersymmetric Yang-Mills Theory
journal, April 2018

Cluster adjacency beyond MHV
journal, March 2019

Cluster adjacency and the four-loop NMHV heptagon
journal, March 2019

Cluster Algebras and Poisson Geometry
journal, January 2003

Conformal invariance in N = 4 supersymmetric Yang-Mills theory
journal, April 1981

A current algebra for some gauge theory amplitudes
journal, November 1988

Eliminating spurious poles from gauge-theoretic amplitudes
preprint, January 2009

Dual Superconformal Invariance, Momentum Twistors and Grassmannians
text, January 2009

Local Spacetime Physics from the Grassmannian
text, January 2009

Unification of Residues and Grassmannian Dualities
text, January 2009

Yangians, Grassmannians and T-duality
text, January 2010

On the Classification of Residues of the Grassmannian
text, January 2010

Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
text, January 2011

Bootstrapping an NMHV amplitude through three loops
text, January 2014

Cluster Functions and Scattering Amplitudes for Six and Seven Points
preprint, January 2015

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
text, January 2016

Heptagons from the Steinmann Cluster Bootstrap
text, January 2016

Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
text, January 2018

The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
text, January 2019

Weak Separation, Positivity and Extremal Yangian Invariants
text, January 2019