The scattering variety

DOI10.1007/JHEP10(2014)135zbMath1333.83020arXiv1403.6833MaRDI QIDQ271206

Chuang Sun, Yang-Hui He, Cyril Matti

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6833

zbMATH Keywords

scattering amplitudesdifferential geometryalgebraic geometry

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Fano varieties (14J45) Equations of motion in general relativity and gravitational theory (83C10)

Related Items

Scattering equations and virtuous kinematic numerators and dual-trace functions, Cross-ratio identities and higher-order poles of CHY-integrand, General solution of the scattering equations, Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes, CHY representations for gauge theory and gravity amplitudes with up to three massive particles, An algebraic approach to the scattering equations, A differential operator for integrating one-loop scattering equations, Scattering equations: real solutions and particles on a line, Elimination and recursions in the scattering equations, Fermions and the scattering equations

Uses Software

• Macaulay2
• SINGULAR
• STRINGVACUA
• OEIS

Cites Work

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• Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• The polynomial form of the scattering equations
• Scattering of massless particles: scalars, gluons and gravitons
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• STRINGVACUA. A Mathematica package for studying vacuum configurations in string phenomenology
• Perturbative gauge theory as a string theory in twistor space
• Hilbert functions of graded algebras
• Betti numbers of points in projective space
• Unifying geometrical representations of gauge theory
• The geometry of generations
• A Database of Polarized K3 Surfaces