An Infinitesimal Torelli for Conformal Vacua

DOI10.1081/AGB-120022443zbMath1081.17016OpenAlexW2001308972MaRDI QIDQ4418330

Davide Franco

Publication date: 7 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120022443

zbMATH Keywords

highest weightVerlinde formulavertex operatoraffine Lie algebramoduli space of curvesparabolic bundletwo dimensional conformal field theoryClebsch-Gordan conditionconformal vacua

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Related Items (1)

On a period map for SU(2) conformal vacua

Cites Work

• Fusion rules and modular transformations in 2D conformal field theory
• Geometric realization of conformal field theory on Riemann surfaces
• Moduli of vector bundles on curves with parabolic structures
• Generalized SU(2) theta functions
• Infinite Grassmannians and moduli spaces of \(G\)-bundles
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero

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