Global anti-self-dual Yang-Mills fields in split signature and their scattering

DOI10.1515/CRELLE.2006.064zbMath1110.53019arXivmath-ph/0505039OpenAlexW2963371044MaRDI QIDQ3413790

Lionel J. Mason

Publication date: 18 December 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0505039

zbMATH Keywords

scattering problemWard's twistor

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (20)

Celestial \(w_{1+\infty}\) symmetries from twistor space ⋮ Scattering amplitudes and BCFW recursion in twistor space ⋮ Transparent pairs ⋮ The attenuated ray transform for connections and Higgs fields ⋮ Gluon scattering on self-dual radiative gauge fields ⋮ Celestial amplitudes in an ambidextrous basis ⋮ Self-dual black holes in celestial holography ⋮ Gravity from holomorphic discs and celestial \(Lw_{1+\infty}\) symmetries ⋮ Carrollian and celestial spaces at infinity ⋮ Black holes in Klein space ⋮ The transport Oka-Grauert principle for simple surfaces ⋮ The Penrose transform in split signature ⋮ (2, 2) scattering and the celestial torus ⋮ Trkalian fields: ray transforms and mini-twistors ⋮ Self-dual Yang-Mills equations in split signature ⋮ Classical solutions and their double copy in split signature ⋮ Wave equations and the LeBrun-Mason correspondence ⋮ Perturbatively exact \(w_{1+ \infty}\) asymptotic symmetry of quantum self-dual gravity ⋮ The split algebras and noncompact Hopf maps ⋮ NS-NS spacetimes from amplitudes

Cites Work

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• The linear system for self-dual gauge fields in a spacetime of signature 0
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• Integrable Yang–Mills–Higgs equations in three-dimensional de Sitter space–time
• Twistors and fields with sources on worldlines
• The Funk transform as a Penrose transform
• Inversion for the Radon line transform in higher dimensions
• ON DETERMINATION OF A GAUGE FIELD ON ℝ^d FROM ITS NON-ABELIAN RADON TRANSFORM ALONG ORIENTED STRAIGHT LINES
• COMPLEX ANALYSIS AND THE FUNK TRANSFORM
• Anti-self-dual four–manifolds with a parallel real spinor
• On self-dual gauge fields

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