A dispersionless integrable system associated to \(\text{Diff}(S^1)\) gauge theory

DOI10.1016/j.physleta.2005.06.014zbMath1194.37101arXivnlin/0503030OpenAlexW2136432717MaRDI QIDQ936791

Maciej Dunajski, George A. J. Sparling

Publication date: 20 August 2008

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

Full work available at URL: https://arxiv.org/abs/nlin/0503030

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (6)

The Cauchy problem for the Pavlov equation ⋮ Linearly degenerate hierarchies of quasiclassical SDYM type ⋮ On reductions of noncommutative anti-self-dual Yang-Mills equations ⋮ Multidimensional integrable systems and deformations of Lie algebra homomorphisms ⋮ The Cauchy problem for the Pavlov equation with large data ⋮ On linear degeneracy of integrable quasilinear systems in higher dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
• Infinite-dimensional gauge groups and special nonlinear gravitons
• Hyper-Hermitian metrics with symmetry
• Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
• Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
• Integrable background geometries
• The SU(∞) chiral model and self-dual vacuum spaces
• Minitwistor spaces and Einstein-Weyl spaces
• From 2D integrable systems to self-dual gravity
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type
• The Whitham hierarchies: reductions and hodograph solutions
• The $\bar{\partial}$-approach to the dispersionless KP hierarchy
• Towards a Theory of Differential Constraints of a Hydrodynamic Hierarchy
• Hyper-complex four-manifolds from the Tzitzéica equation
• Integrable hydrodynamic chains
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
• Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors

This page was built for publication: A dispersionless integrable system associated to \(\text{Diff}(S^1)\) gauge theory