Generalized bc-systems based on Hermitian vector bundles

DOI10.1063/1.533251zbMath0974.32012OpenAlexW2055702656MaRDI QIDQ2737946

Matthias Schork

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533251

zbMATH Keywords

elliptic curvesRiemann sphereHermitian vector bundlegeneralized \(bc\)-system

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vector bundles on curves and their moduli (14H60) Applications of holomorphic fiber spaces to the sciences (32L81) Relationships between algebraic curves and physics (14H81)

Related Items (3)

Addition formulae for non-abelian theta functions and applications. ⋮ On the correlation functions of the vector bundle generalization of the bc-system ⋮ Hecke transformation and the generalized theta function

Cites Work

• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Non-Abelian bosonization in two dimensions
• Quantum field theory, Grassmannians, and algebraic curves
• An algebraic geometry study of the \(b\)-\(c\) system with arbitrary twist fields and arbitrary statistics
• A theory of polyhedra
• Fay's trisecant identity and conformal field theory
• Space of unitary vector bundles on a compact Riemann surface
• Moduli of vector bundles on a compact Riemann surface
• Chiral Lagrangians, anomalies, supersymmetry, and holomorphy
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Vector Bundles Over an Elliptic Curve

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