Holonomies of gauge fields in twistor space. I: Bialgebra, supersymmetry, and gluon amplitudes

DOI10.1016/j.nuclphysb.2009.09.026zbMath1196.81168arXiv0906.2524OpenAlexW2076283479MaRDI QIDQ1960176

Yasuhiro Abe

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2524

zbMATH Keywords

Knizhnik-Zamolodchikov equationmonodromy representation

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Nuclear physics (81V35) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) (S)-matrix theory, etc. in quantum theory (81U20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Bialgebras (16T10)

Related Items (6)

A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes ⋮ Holonomies of gauge fields in twistor space 3: gravity as a square of \({\mathcal N}=4\) theory ⋮ Holonomies of gauge fields in twistor space 5: Amplitudes of gluons and massive scalars ⋮ Holonomies of gauge fields in twistor space 6: Incorporation of massive fermions ⋮ Holonomies of gauge fields in twistor space 4: Functional MHV rules and one-loop amplitudes ⋮ Application of abelian holonomy formalism to the elementary theory of numbers

Cites Work

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• Conformal field theory
• From twistor actions to MHV diagrams
• Perturbative gauge theory as a string theory in twistor space
• One-loop gauge theory amplitudes in \(N=4\) super Yang-Mills from MHV vertices
• New recursion relations for tree amplitudes of gluons
• Equivalence of twistor prescriptions for super Yang-Mills

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