Properties of period integrals of complex algebraic curves

DOI10.1016/S0393-0440(98)00047-3zbMath0947.14018OpenAlexW2005157146MaRDI QIDQ1299202

José M. Isidro

Publication date: 8 November 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00047-3

zbMATH Keywords

Riemann surfacesplane algebraic curvesPicard-Fuchs equationsSeiberg-Witten theoriesperiod integralssupersymmetric Yang-Mills theories

Mathematics Subject Classification ID

Plane and space curves (14H50) Yang-Mills and other gauge theories in quantum field theory (81T13) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Riemann surfaces; Weierstrass points; gap sequences (14H55) Relationships between algebraic curves and physics (14H81)

Related Items (2)

Direct derivation of scaling relation of prepotential in N=2 supersymmetric G2 Yang–Mills theory ⋮ Generalized Weierstrass kernels on the intersection of two complex hypersurfaces

Cites Work

• Solutions of four-dimensional field theories via M-theory
• On the Picard-Fuchs equations for massive \(N=2\) Seiberg-Witten theories
• M-theory and Seiberg-Witten curves: orthogonal and symplectic groups
• Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I
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• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
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• On the quantum moduli space of vacua of \(N=2\) supersymmetric gauge theories
• RELATIONS BETWEEN HYPERELLIPTIC INTEGRALS
• NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES
• Operator formalism for bosonic beta–gamma fields on general algebraic curves
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
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