A global operator formalism on higher genus Riemann surfaces: \(b\)-\(c\) systems

DOI10.1007/BF01238861zbMath0688.30033OpenAlexW2008285904MaRDI QIDQ1263699

Loriano Bonora, Marco Matone, Jorge G. Russo, Adrián R. Lugo

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01238861

zbMATH Keywords

operator formalismb-c systemsmeromorphic \(\lambda\)-differentialsTeichmüller deformations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

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Cites Work

• Unnamed Item
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• Virasoro-type algebras and BRST operators on Riemann surfaces
• Quantum field theory, Grassmannians, and algebraic curves
• Moduli spaces of curves and representation theory
• Virasoro algebra and Teichmüller spaces
• Geometric realization of conformal field theory on Riemann surfaces
• Infinite conformal symmetry in two-dimensional quantum field theory
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations