Symplectic and hyper-Kähler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field

DOI10.1016/S0034-4877(02)80058-1zbMath1051.53020arXivmath/0112219WikidataQ125896088 ScholiaQ125896088MaRDI QIDQ1429196

Rukmini Dey

Publication date: 18 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112219

zbMATH Keywords

symplectic geometrydimensional reductionmoduli spacesSeiberg-Witten equationsgauge theorycompact Riemann surfacesvortex equationshyper-Kähler structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Yang-Mills and other gauge theories in quantum field theory (81T13) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Applications of global analysis to structures on manifolds (57R57) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (2)

Geometric quantization of the moduli space of the self-duality equations on a Riemann surface ⋮ Deformation quantization of a dimensionally reduced Seiberg-Witten moduli space

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