Integrability of vortex equations on Riemann surfaces

DOI10.1016/j.nuclphysb.2009.05.003zbMath1203.53075arXiv0712.1756OpenAlexW2089707150MaRDI QIDQ620623

Alexander D. Popov

Publication date: 19 January 2011

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

Full work available at URL: https://arxiv.org/abs/0712.1756

zbMATH Keywords

Bogomolny equationsAbelian Higgs modelgravitational instantonSO(3)-symmetric Yang-Mills instantons

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) Applications of global differential geometry to the sciences (53C80) Twistor methods in differential geometry (53C28)

Related Items

Integrable abelian vortex-like solitons, Instanton solutions from Abelian sinh-Gordon and Tzitzeica vortices, Hermitian Yang-Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi-Yau twistor 6-manifolds, Manton’s five vortex equations from self-duality, A ladder of topologically non-trivial non-BPS states, Vortices on orbifolds, Non-abelian vortices on $\mathbb {CP}^{1}$CP1 and Grassmannians, VORTICES AS INSTANTONS IN NONCOMMUTATIVE DISCRETE SPACE: USE OF Z₂ COORDINATES, Non-Abelian vortices, super Yang-Mills theory and Spin(7)-instantons, All exact solutions of non-abelian vortices from Yang-Mills instantons, Non-Abelian vortices on Riemann surfaces: An integrable case, Double quiver gauge theory and nearly Kähler flux compactifications

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