Deformations of complex structures and conformal field theories on Riemann surfaces

DOI10.1063/1.528757zbMath0705.53050OpenAlexW2057587163MaRDI QIDQ3485575

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528757

zbMATH Keywords

conformal field theoryRiemann surfaceVirasoro algebracomplex structure deformations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of global differential geometry to the sciences (53C80) Deformations of complex structures (32G05)

Related Items (6)

Functional integration on two-dimensional Regge geometries ⋮ On a class of conformal \(\mathcal{E}\)-models and their chiral Poisson algebras ⋮ Operator formalism on the Z n symmetric algebraic curves ⋮ Relation between represenations of KN and Virasoro algebras ⋮ Group theoretical derivation of Liouville action for Regge surfaces ⋮ Monodromy properties of energy momentum tensor on general algebraic curves.

Cites Work

• Moduli spaces of curves and representation theory
• \(c=I\) conformal field theories on Riemann surfaces
• Modular invariant partition functions in two dimensions
• Current algebras and Wess-Zumino model in two dimensions
• Hall-order differentials on Riemann surfaces
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Finite dimensional Teichmüller spaces and generalizations

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