A note on letters of Yangian invariants

DOI10.1007/JHEP02(2021)155zbMath1460.81101arXiv2007.01574MaRDI QIDQ2026041

Zhenjie Li, Song He

Publication date: 17 May 2021

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

Full work available at URL: https://arxiv.org/abs/2007.01574

zbMATH Keywords

scattering amplitudessupersymmetric gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) (S)-matrix theory, etc. in quantum theory (81U20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry ⋮ The 𝑚=2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers ⋮ Schubert problems, positivity and symbol letters ⋮ Landau singularities of the 7-point ziggurat. II. ⋮ A nice two-loop next-to-next-to-MHV amplitude in \(\mathcal{N} = 4\) super-Yang-Mills ⋮ Algebraic branch points at all loop orders from positive kinematics and wall crossing ⋮ Notes on cluster algebras and some all-loop Feynman integrals ⋮ Symbol alphabets from tensor diagrams ⋮ Truncated cluster algebras and Feynman integrals with algebraic letters ⋮ Comments on all-loop constraints for scattering amplitudes and Feynman integrals

Uses Software

• positroids

Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• Landau singularities from the amplituhedron
• Tropical Grassmannians, cluster algebras and scattering amplitudes
• Notes on scattering amplitudes as differential forms
• Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory
• All-helicity symbol alphabets from unwound amplituhedra
• Heptagons from the Steinmann cluster bootstrap
• Unwinding the amplituhedron in binary
• Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills
• The amplituhedron
• Bootstrapping the three-loop hexagon
• Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
• Yangian invariants and cluster adjacency in \(\mathcal{N} = 4\) Yang-Mills
• The tropical totally positive Grassmannians
• The Sklyanin bracket and cluster adjacency at all multiplicity
• Cluster adjacency beyond MHV
• Cluster adjacency and the four-loop NMHV heptagon
• Grassmannian Geometry of Scattering Amplitudes
• GRASSMANNIANS AND CLUSTER ALGEBRAS

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