One-loop superconformal and Yangian symmetries of scattering amplitudes in \( \mathcal{N} = 4 \) super Yang-Mills

DOI10.1007/JHEP04(2010)085zbMath1272.81110arXiv1002.1733OpenAlexW2108294052WikidataQ59249820 ScholiaQ59249820MaRDI QIDQ367739

Niklas Beisert, Johannes M. Henn, Tristan Mc Loughlin, Jan C. Plefka

Publication date: 16 September 2013

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

Full work available at URL: https://arxiv.org/abs/1002.1733

zbMATH Keywords

quantum groupssupersymmetric gauge theoryglobal symmetriesAdSCFT correspondence

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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) Anomalies in quantum field theory (81T50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05)

Related Items (32)

Spectral parameters for scattering amplitudes in \( \mathcal{N} =4\) super Yang-Mills theory ⋮ Star integrals, convolutions and simplices ⋮ On-shell methods for the two-loop dilatation operator and finite remainders ⋮ Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions ⋮ Yangian symmetry for bi-scalar loop amplitudes ⋮ One-loop Wilson loops and the particle-interface potential in AdS/dCFT ⋮ Conformal invariance of the one-loop all-plus helicity scattering amplitudes ⋮ The Yangian origin of the Grassmannian integral ⋮ On all-loop integrands of scattering amplitudes in planar \(\mathcal{N} = 4\) SYM ⋮ On form factors in \(\mathcal{N} = 4\) SYM ⋮ Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory ⋮ Anomalous Ward identities for on-shell amplitudes at the conformal fixed point ⋮ On \(AdS_4\times{\mathbb C}P^3\) T-duality ⋮ Review of AdS/CFT integrability, chapter V.2: Dual superconformal symmetry ⋮ Yangian symmetry and bound states in AdS/CFT boundary scattering ⋮ Heat kernel expansion and induced action for the matrix model Dirac operator ⋮ Twistor and polytope interpretations for subleading color one-loop amplitudes ⋮ On MHV form factors in superspace for \( \mathcal{N} = 4 \) SYM theory ⋮ Amplitudes from anomalous superconformal symmetry ⋮ More loops and legs in Higgs-regulated \(\mathcal{N} = 4\) SYM amplitudes ⋮ Dual conformal properties of six-dimensional maximal super Yang-Mills amplitudes ⋮ The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM ⋮ Yangian symmetry of light-like Wilson loops ⋮ Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills ⋮ New differential equations for on-shell loop integrals ⋮ One loop amplitudes in ABJM ⋮ A note on amplitudes in \( \mathcal{N} = {6} \) superconformal Chern-Simons theory ⋮ Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills ⋮ Scattering amplitudes and toric geometry ⋮ Yangian symmetry of smooth Wilson loops in \( \mathcal{N}=4 \) super Yang-Mills theory ⋮ On NMHV form factors in \( \mathcal{N}=4 \) SYM theory from generalized unitarity ⋮ Amplituhedra, and beyond

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