Some new integrable equations from the self-dual Yang-Mills equations

DOI10.1016/0375-9601(95)00541-AzbMath1020.37532arXivhep-th/9508129MaRDI QIDQ1965685

Alexander D. Popov, Tatiana A. Ivanova

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9508129

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems ⋮ \(N=(2,0)\) self-dual non-abelian tensor multiplet in \(D=3+3\) generates \(N=(1,1)\) self-dual systems in \(D=2+2\) ⋮ Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions ⋮ Self-dual non-Abelian \(\mathcal{N}=1\) tensor multiplet in \(D=2+2\) dimensions ⋮ Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ Supersymmetric self-dual Yang-Mills theories from local nilpotent fermionic symmetry ⋮ Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group

Cites Work

• Self-dual supersymmetry and supergravity in Atiyah-Ward space-time
• Nonlinear Schrödinger equations and simple Lie algebras
• Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform
• Reductions by isometries of the self-dual Yang–Mills equations in four-dimensional Euclidean space
• On self-dual gauge fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some new integrable equations from the self-dual Yang-Mills equations