Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
type: Item
instance of: scholarly article
title: Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
zbMATH Open document ID: 1476.81118
DOI: 10.1007/JHEP10(2021)007
author: Niklas Henke
author: Georgios Papathanasiou
published in: Journal of High Energy Physics
publication date: 2021-12-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/2106.01392
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 81U20
Mathematics Subject Classification ID: 70S15
Mathematics Subject Classification ID: 14T90
zbMATH DE Number: 7447843
zbMATH Keywords: \(1/N\) expansion
zbMATH Keywords: extended supersymmetry
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: supersymmetric gauge theory
MaRDI profile type: Publication
arXiv ID: 2106.01392
cites work: Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
cites work: Grassmannian geometry of scattering amplitudes
cites work: Thermodynamic bubble ansatz
cites work: A simple collinear limit of scattering amplitudes at strong coupling
cites work: Volumes of hyperbolic manifolds and mixed Tate motives
cites work: Galois symmetries of fundamental groupoids and noncommutative geometry
cites work: On the decomposition of motivic multiple zeta values
cites work: An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
cites work: The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
cites work: A duality for the S matrix
cites work: Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
cites work: Comments on gluon scattering amplitudes via AdS/CFT
cites work: Eliminating spurious poles from gauge-theoretic amplitudes
cites work: Cluster algebras. I: Foundations
cites work: Cluster algebras. II: Finite type classification
cites work: Cluster algebras. III: Upper bounds and double Bruhat cells.
cites work: Cluster algebras IV: Coefficients
cites work: Bootstrapping the three-loop hexagon
cites work: Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
cites work: Hexagon functions and the three-loop remainder function
cites work: The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
cites work: Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
cites work: The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
cites work: Hexagon bootstrap in the double scaling limit
cites work: Heptagons from the Steinmann cluster bootstrap
cites work: Cluster adjacency and the four-loop NMHV heptagon
cites work: Lifting heptagon symbols to functions
cites work: All-helicity symbol alphabets from unwound amplituhedra
cites work: The amplituhedron
cites work: Unwinding the amplituhedron in binary
cites work: Tropical Grassmannians, cluster algebras and scattering amplitudes
cites work: Algebraic singularities of scattering amplitudes from tropical geometry
cites work: Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes
cites work: The tropical Grassmannian
cites work: The tropical totally positive Grassmannians
cites work: Stringy canonical forms
cites work: Scattering equations: from projective spaces to tropical Grassmannians
cites work: Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations
cites work: Generalized planar Feynman diagrams: collections
cites work: Minimal kinematics: an all \(k\) and \(n\) peek into \(\mathrm{Trop}^+ \mathrm{G}(k,n)\)
cites work: Notes on polytopes, amplitudes and boundary configurations for Grassmannian string integrals
cites work: Positive configuration space
cites work: Cluster configuration spaces of finite type
cites work: Algebraic branch points at all loop orders from positive kinematics and wall crossing
cites work: Cluster algebras and triangulated surfaces. I: Cluster complexes
cites work: The Sklyanin bracket and cluster adjacency at all multiplicity
cites work: Q5490930
cites work: Introduction to tropical algebraic geometry
cites work: Brief introduction to tropical geometry
cites work: Cluster ensembles, quantization and the dilogarithm
cites work: Cluster algebras and continued fractions
cites work: A combinatorial approach to scattering diagrams
cites work: Cluster mutation-periodic quivers and associated Laurent sequences
cites work: Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
cites work: A note on letters of Yangian invariants
cites work: Cluster automorphisms.
cites work: Solution to the Ward identities for superamplitudes
cites work: Local integrals for planar scattering amplitudes

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cites work: Quantum affine algebras and Grassmannians

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cites work: polymake: a framework for analyzing convex polytopes

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cites work: Boundaries of amplituhedra and NMHV symbol alphabets at two loops

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cites work: Scattering Fans

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cites work: Line defects, tropicalization, and multi-centered quiver quantum mechanics

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cites work: Scattering diagrams, Hall algebras and stability conditions

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cites work: Elliptic Feynman integrals and pure functions

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cites work: Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills

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cites work: An operator product expansion for polygonal null Wilson loops

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cites work: Hexagon Wilson loop OPE and harmonic polylogarithms

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cites work: Evaluating the six-point remainder function near the collinear limit

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cites work: Nonsinglet pentagons and NMHV amplitudes

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cites work: Fermionic pentagons and NMHV hexagon

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cites work: OPE for all helicity amplitudes

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cites work: OPE for all helicity amplitudes. II: Form factors and data analysis

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cites work: Hexagonal Wilson loops in planar \(\mathcal{N}=4\) SYM theory at finite coupling

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cites work: Matrix pentagons

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cites work: Hexagon POPE: effective particles and tree level resummation

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry (OpenAlex ID)
OpenAlex ID: W3171830449