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Symbol alphabets in QCD and flag cluster algebras.

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Τίτλος: Symbol alphabets in QCD and flag cluster algebras.
Συγγραφείς: Pokraka, Andrzej, Spradlin, Marcus, Volovich, Anastasia, Weng, He-Chen
Πηγή: Journal of High Energy Physics; Mar2026, Vol. 2026 Issue 3, p1-20, 20p
Θεματικοί όροι: Feynman integrals, Cluster algebras, Grassmann manifolds, Mutations (Algebra), Quantum chromodynamics
Περίληψη: The full 245-letter symbol alphabet for all planar massless two-loop six-point Feynman integrals was recently determined in arXiv:2412.19884 and arXiv:2501.01847. In a parallel mathematical development, it was shown in arXiv:2408.14956 that there is an embedding of the cluster algebra associated to the partial flag variety Fl 2 , n − 2 ; n , which describes the kinematics of n massless particles, into that of the Grassmannian Gr(n–2, 2n–4). In this paper we connect these developments by showing that most of the rational symbol letters can be expressed in terms of flag cluster variables, and that all of the algebraic symbol letters arise from infinite mutation sequences. [ABSTRACT FROM AUTHOR]
Copyright of Journal of High Energy Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Symbol alphabets in QCD and flag cluster algebras.
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  Data: <searchLink fieldCode="AR" term="%22Pokraka%2C+Andrzej%22">Pokraka, Andrzej</searchLink><br /><searchLink fieldCode="AR" term="%22Spradlin%2C+Marcus%22">Spradlin, Marcus</searchLink><br /><searchLink fieldCode="AR" term="%22Volovich%2C+Anastasia%22">Volovich, Anastasia</searchLink><br /><searchLink fieldCode="AR" term="%22Weng%2C+He-Chen%22">Weng, He-Chen</searchLink>
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  Data: Journal of High Energy Physics; Mar2026, Vol. 2026 Issue 3, p1-20, 20p
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  Data: <searchLink fieldCode="DE" term="%22Feynman+integrals%22">Feynman integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Cluster+algebras%22">Cluster algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Grassmann+manifolds%22">Grassmann manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+chromodynamics%22">Quantum chromodynamics</searchLink>
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  Label: Abstract
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  Data: The full 245-letter symbol alphabet for all planar massless two-loop six-point Feynman integrals was recently determined in arXiv:2412.19884 and arXiv:2501.01847. In a parallel mathematical development, it was shown in arXiv:2408.14956 that there is an embedding of the cluster algebra associated to the partial flag variety Fl 2 , n − 2 ; n , which describes the kinematics of n massless particles, into that of the Grassmannian Gr(n–2, 2n–4). In this paper we connect these developments by showing that most of the rational symbol letters can be expressed in terms of flag cluster variables, and that all of the algebraic symbol letters arise from infinite mutation sequences. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of High Energy Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/JHEP03(2026)120
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        Text: English
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        Type: general
      – SubjectFull: Cluster algebras
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      – SubjectFull: Grassmann manifolds
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      – TitleFull: Symbol alphabets in QCD and flag cluster algebras.
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              Text: Mar2026
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              Y: 2026
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