Adjacency for scattering amplitudes from the Gröbner fan (Q6183340)

scientific article; zbMATH DE number 7795718

Language	Label	Description	Also known as
English	Adjacency for scattering amplitudes from the Gröbner fan	scientific article; zbMATH DE number 7795718

Statements

instance of

scholarly article

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title

Adjacency for scattering amplitudes from the Gröbner fan (English)

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Journal of High Energy Physics

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publication date

26 January 2024

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full work available at URL

https://arxiv.org/abs/2212.08931

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zbMATH Keywords

differential and algebraic geometry

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scattering amplitudes

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MaRDI profile type

MaRDI publication profile

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cites work

Families of Gröbner degenerations, Grassmannians and universal cluster algebras

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Cluster polylogarithms for scattering amplitudes

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Cluster algebras I: Foundations

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Cluster algebras. II: Finite type classification

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Cluster algebras IV: Coefficients

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Bootstrapping the three-loop hexagon

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Hexagon functions and the three-loop remainder function

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The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} = 4$ super-Yang-Mills theory

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Six-gluon amplitudes in planar $\mathcal{N} = 4$ super-Yang-Mills theory at six and seven loops

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Heptagons from the Steinmann cluster bootstrap

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Cluster adjacency and the four-loop NMHV heptagon

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Cluster adjacency beyond MHV

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The cosmic Galois group and extended Steinmann relations for planar $\mathcal{N} = 4$ SYM amplitudes

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Tropical Grassmannians, cluster algebras and scattering amplitudes

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Algebraic singularities of scattering amplitudes from tropical geometry

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Non-perturbative geometries for planar $\mathcal{N} = 4$ SYM amplitudes

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Algebraic branch points at all loop orders from positive kinematics and wall crossing

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Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry

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Schubert problems, positivity and symbol letters

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A nice two-loop next-to-next-to-MHV amplitude in $\mathcal{N} = 4$ super-Yang-Mills

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Q5251430

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The tropical Grassmannian

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The tropical totally positive Grassmannians

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Cluster algebras of type $D_4$, tropical planes, and the positive tropical Grassmannian

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Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD

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Pentagon functions for massless planar scattering amplitudes

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The two-loop five-particle amplitude in $ \mathcal{N}=8$ supergravity

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The two-loop five-point amplitude in $ \mathcal{N}=8$ supergravity

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Monomial Ideals

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The Gröbner fan of an ideal

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When does a polynomial ideal contain a positive polynomial?

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Tropical fans, scattering equations and amplitudes

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How to draw tropical planes

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Scattering equations: from projective spaces to tropical Grassmannians

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Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations

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Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry

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Full-Rank Valuations and Toric Initial Ideals

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Birational sequences and the tropical Grassmannian

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Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case

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Analytic form of the planar two-loop five-parton scattering amplitudes in QCD

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One-loop hexagon integral to higher orders in the dimensional regulator

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Identifiers

arXiv ID

2212.08931

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DOI

10.1007/jhep11(2023)002

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6183340