Selfdual solution of classical Yang-Mills fields through a \(q\)-analog of ADHM construction

DOI10.1016/S0034-4877(01)80079-3zbMath1018.53013MaRDI QIDQ696332

Atsushi Nakamula

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-analoguesYang-Mills fieldsADHMN constructionBPS monopole

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• On the construction of monopoles
• Construction of instantons
• Quantum affine algebras and holonomic difference equations
• Boundary values of hyperbolic monopoles
• One-parameter family of selfdual solutions in classical Yang-Mills theory.
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