Holonomies of gauge fields in twistor space. II: Hecke algebra, diffeomorphism, and graviton amplitudes

DOI10.1016/j.nuclphysb.2009.09.027zbMath1196.81169arXiv0906.2526OpenAlexW1997100783MaRDI QIDQ1960177

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/0906.2526

zbMATH Keywords

Iwahori-Hecke algebraChan-Paton factor

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Supersymmetric field theories in quantum mechanics (81T60) Nuclear physics (81V35) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization of the gravitational field (83C45) 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)

Related Items (5)

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 ⋮ Twistor strings for \(\mathcal{N} = 8\) supergravity

Cites Work

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• An interpretation of multigraviton amplitudes
• KLT relations from the Einstein-Hilbert Lagrangian
• Perturbative gauge theory as a string theory in twistor space
• Four-point amplitudes in \({\mathcal N}=8\) supergravity and Wilson loops
• Vertex operators in the conformal field theory on \(\mathbb P^1\) and monodromy representations of the braid group
• Hecke algebra representations of braid groups and link polynomials
• Quantum field theory and the Jones polynomial
• Multi-leg one-loop gravity amplitudes from gauge theory
• Einstein supergravity and new twistor string theories
• One-loop {\cal N}=8 supergravity amplitudes from MHV diagrams
• Self-dual supergravity and twistor theory

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