Calogero­Moser Systems and Super Yang­Mills with Adjoint Matter

DOI10.2991/jnmp.2001.8.s.13zbMath1113.37311OpenAlexW2103430330MaRDI QIDQ2732457

Eric D'Hoker, Duong H. Phong

Publication date: 3 October 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.13

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

• Stable bundles and integrable systems
• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general simple Lie algebras
• Calogero-Moser systems in \(\text{SU}(N)\) Seiberg-Witten theory.
• Integrable systems and supersymmetric gauge theory
• Supersymmetric Yang-Mills theory and integrable systems
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory

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