On infinite-dimensional algebras of symmetries of the self-dual Yang–Mills equations

DOI10.1063/1.532332zbMath0905.53021arXivhep-th/9702144OpenAlexW1993359169MaRDI QIDQ4212619

Tatiana A. Ivanova

Publication date: 10 February 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9702144

zbMATH Keywords

conformal symmetrieshidden symmetries of self-dual Yang-Mills equationsWard's twistor construction

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Spinor and twistor methods applied to problems in quantum theory (81R25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (6)

SELF-DUAL YANG–MILLS: SYMMETRIES AND MODULI SPACE ⋮ Hidden symmetries and integrable hierarchy of the \({\mathcal{N}}= 4\) supersymmetric Yang-Mills equations ⋮ The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations ⋮ Reducible connections and non-local symmetries of the self-dual Yang-Mills equations ⋮ Contact manifolds, contact instantons, and twistor geometry ⋮ How to Find Discrete Contact Symmetries

Cites Work

• A new approach to the self-dual Yang-Mills equations
• Action of the loop group on the self-dual Yang-Mills equation
• Instantons and algebraic geometry
• (Anti)self-dual gauge fields in dimension \(d\geq 4\)
• Lax pairs of integrable equations in \(1\leq d\leq 3\) dimensions as reductions of the Lax pair for the self-dual Yang-Mills equations
• Real methods in twistor theory
• Self-duality in four-dimensional Riemannian geometry
• On self-dual gauge fields

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