Yangian symmetry for the tree amplituhedron

DOI10.1088/1751-8121/aa7594zbMath1370.81167arXiv1612.04378OpenAlexW3104849829MaRDI QIDQ5348272

Livia Ferro, Matteo Parisi, Tomasz Lukowski, Andrea Orta

Publication date: 15 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04378

zbMATH Keywords

scattering amplitudessupersymmetric gauge theoryintegrable field theories

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05)

Related Items

The twistor Wilson loop and the amplituhedron ⋮ Yangian symmetry for bi-scalar loop amplitudes ⋮ Poles at infinity in on-shell diagrams ⋮ Non-planar BCFW Grassmannian geometries ⋮ The correlahedron ⋮ Unwinding the amplituhedron in binary ⋮ Prescriptive unitarity ⋮ Cluster adjacency for \(m = 2\) Yangian invariants ⋮ Towards the gravituhedron: new expressions for NMHV gravity amplitudes ⋮ Amplituhedron meets Jeffrey–Kirwan residue ⋮ Symmetry properties of Wilson loops with a Lagrangian insertion ⋮ Amplituhedra, and beyond

Uses Software

• positroids

Cites Work

• Spectral parameters for scattering amplitudes in \( \mathcal{N} =4\) super Yang-Mills theory
• A dictionary between R-operators, on-shell graphs and Yangian algebras
• Eliminating spurious poles from gauge-theoretic amplitudes
• A note on polytopes for scattering amplitudes
• A duality for the S matrix
• The Yangian origin of the Grassmannian integral
• The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
• Bethe ansatz for Yangian invariants: towards super Yang-Mills scattering amplitudes
• The amplituhedron and the one-loop Grassmannian measure
• On-shell diagrams, Graßmannians and integrability for form factors
• Towards the amplituhedron volume
• The amplituhedron
• Yangians, Grassmannians and T-duality
• Yang-Baxter operators and scattering amplitudes in \(\mathcal{N}=4\) super-Yang-Mills theory
• Grassmannian Geometry of Scattering Amplitudes
• A shortcut to general tree-level scattering amplitudes in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} = 4$\end{document} SYM via integrability
• On Yangian-invariant regularization of deformed on-shell diagrams in $\mathcal{N}=4$ super-Yang–Mills theory