Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras

DOI10.1070/rm1999v054n01ABEH000122zbMath0943.17019arXivmath/9812083OpenAlexW2145011903MaRDI QIDQ4719740

Martin Schlichenmaier, Oleg K. Sheinman

Publication date: 10 January 2000

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9812083

zbMATH Keywords

conformal blocksKrichever-Novikov algebrasSugawara constructionhigher genus Riemann surfaceshigher genus Knizhnik-Zamolodchikov equationsmoduli of punctured Riemann surfacesWZWN-theory

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Relationships between algebraic curves and physics (14H81)

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