Abelian conformal field theory and \(N=2\) supercurves

DOI10.1215/KJM/1250518649zbMATH Open0848.17026OpenAlexW1604341101MaRDI QIDQ1911567

Yuji Shimizu

Publication date: 31 October 1996

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518649

zbMATH Keywords

vertex operator algebraHeisenberg algebraPicard groupFock representationconformal blocksinfinite-dimensional Lie algebrassuper Riemann surfacessupercurvesPicard varietyPicard functorBeilinson-Bernstein localizationabelian conformal field theorydressed moduli spacestheta functions of higher level

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Families, moduli of curves (algebraic) (14H10) Theta functions and abelian varieties (14K25) Algebraic functions and function fields in algebraic geometry (14H05) Riemann surfaces (30F99)

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