Six-point gluon scattering amplitudes from \(\mathbb{Z}_4\)-symmetric integrable model

DOI10.1007/JHEP09(2010)064zbMath1291.81253arXiv1005.4487OpenAlexW1500671854MaRDI QIDQ2250529

Yuji Satoh, Yasuyuki Hatsuda, Kazuhiro Sakai, Katsushi Ito

Publication date: 7 July 2014

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

Full work available at URL: https://arxiv.org/abs/1005.4487

zbMATH Keywords

AdS-CFT correspondenceBethe ansatzintegrable equations in physics

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) Groups and algebras in quantum theory and relations with integrable systems (81R12) (2)-body potential quantum scattering theory (81U05) Statistical thermodynamics (82B30)

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Null-polygonal minimal surfaces in \(\mathrm{AdS}_{4}\) from perturbed \(W\) minimal models ⋮ Y-system for form factors at strong coupling in \(\mathrm{AdS}_5\) and with multi-operator insertions in \(\mathrm{AdS}_3\) ⋮ On the mass-coupling relation of multi-scale quantum integrable models ⋮ The Bethe roots of Regge cuts in strongly coupled \( \mathcal{N}=4 \) SYM theory ⋮ Review of AdS/CFT integrability, chapter V.3: Scattering amplitudes at strong coupling ⋮ A simple collinear limit of scattering amplitudes at strong coupling ⋮ Excited hexagon Wilson loops for strongly coupled \({\mathcal N} = 4\) SYM ⋮ \(g\)-functions and gluon scattering amplitudes at strong coupling ⋮ MHV amplitudes at strong coupling and linearized TBA equations ⋮ Hexagon functions and the three-loop remainder function ⋮ Massive ODE/IM correspondence and nonlinear integral equations for ${A_r^{(1)}}$ -type modified affine Toda field equations ⋮ TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling ⋮ T-functions and multi-gluon scattering amplitudes

Cites Work

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• Thermodynamic bubble ansatz
• Hexagon Wilson loop = six-gluon MHV amplitude
• Solitonic integrable perturbations of parafermionic theories
• Excited-state energies and supersymmetric indices
• Wall-crossing in coupled 2d-4d systems
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The symmetric space and homogeneous sine-Gordon theories
• Y-system for scattering amplitudes
• Central charges of the 6- and 19-vertex models with twisted boundary conditions
• Excited states in the twistedXXZspin chain
• Finite-size corrections and scaling dimensions of solvable lattice models: An analytic method
• New thermodynamic Bethe ansatz equations without strings
• The ODE/IM correspondence

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