Moyal deformation, Seiberg-Witten maps, and integrable models

DOI10.1023/A:1011028111581zbMath0983.53064arXivhep-th/0007160OpenAlexW3098638297MaRDI QIDQ5944746

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 10 October 2001

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0007160

zbMATH Keywords

gauge theoryMoyal productMoyal deformationsnoncommutative extensionSeiberg-Witten maps

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (5)

BIDIFFERENTIAL CALCULI, BICOMPLEX STRUCTURE AND ITS APPLICATION TO BIHAMILTONIAN SYSTEMS ⋮ EXTENDED BOTT–VIRASORO ALGEBRA, SEMIDIRECT PRODUCT, ⋆-LIE ALGEBRA OF DIFFEOMORPHISM AND NONCOMMUTATIVE INTEGRABLE SYSTEMS ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems ⋮ An extended noncommutative KP hierarchy

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