Gauge and integrable theories in loop spaces

DOI10.1016/J.NUCLPHYSB.2012.01.005zbMath1246.70023arXiv1109.2606OpenAlexW2101370122MaRDI QIDQ447292

G. Luchini, Luiz Agostinho Ferreira

Publication date: 3 September 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2606

zbMATH Keywords

hyper-surfacehyper-volume

Mathematics Subject Classification ID

Loop spaces (55P35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (4)

A mild source for the Wu–Yang magnetic monopole ⋮ A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges ⋮ Gauge and integrable theories in loop spaces ⋮ Some properties of (3 + 1) dimensional vortex solutions in the extended \(\mathbb C\mathbb P^{N}\) Skyrme-Faddeev model

Cites Work

• Unnamed Item
• Gauge and integrable theories in loop spaces
• Charges and fluxes in Maxwell theory on compact manifolds with boundary
• A new approach to integrable theories in any dimension
• INTEGRABLE THEORIES AND LOOP SPACES: FUNDAMENTALS, APPLICATIONS AND NEW DEVELOPMENTS
• Topological Solitons

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