On Yangian-invariant regularization of deformed on-shell diagrams in $\mathcal{N}=4$ super-Yang–Mills theory

DOI10.1088/1751-8113/47/36/365402zbMath1298.81339arXiv1401.7274OpenAlexW2265500666WikidataQ59256148 ScholiaQ59256148MaRDI QIDQ2922369

Matteo Rosso, Niklas Beisert, Johannes Broedel

Publication date: 10 October 2014

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

Full work available at URL: https://arxiv.org/abs/1401.7274

zbMATH Keywords

scattering amplitudessupersymmetryregularisationconformal symmetryYangian invariance

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) (2)-body potential quantum scattering theory (81U05) Deformations and infinitesimal methods in commutative ring theory (13D10) Ring-theoretic aspects of quantum groups (16T20)

Related Items (17)

A dictionary between R-operators, on-shell graphs and Yangian algebras ⋮ Cluster algebras and the positive Grassmannian ⋮ Deformed one-loop amplitudes in \( \mathcal{N}=4 \) super-Yang-Mills theory ⋮ Grassmannians and form factors with \(q^{2} = 0\) in \( \mathcal{N} =4\) SYM theory ⋮ On-shell diagrams, Graßmannians and integrability for form factors ⋮ Non-planar on-shell diagrams ⋮ Logarithmic singularities and maximally supersymmetric amplitudes ⋮ Yangian symmetry for the tree amplituhedron ⋮ Graßmannian integrals in Minkowski signature, amplitudes, and integrability ⋮ \(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian ⋮ Graßmannian integrals as matrix models for non-compact Yangian invariants ⋮ Correlators with \(\operatorname{s\ell}_{2}\) Yangian symmetry ⋮ Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in \( \mathcal{N}=4 \) SYM ⋮ Grassmannian integral for general gauge invariant off-shell amplitudes in \(\mathcal{N}=4 \) SYM ⋮ Amplitudes, form factors and the dilatation operator in \( \mathcal{N}=4 \) SYM theory ⋮ Anatomy of the amplituhedron ⋮ Massless on-shell box integral with arbitrary powers of propagators

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