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Krichever-Novikov type algebras and Wess-Zumino-Novikov-Witten models. (English) Zbl 1461.17026
Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 42, 327-368 (2018).
The review gives a short summary of Krichever-Novikov type algebras and describes their application in the Wess-Zumino-Witten models and Knizhnik-Zamolodchikov equations. The material in more detail appeared in previous work of the author. An extended literature is attached to the review.
For the entire collection see [Zbl 1398.14003].
17B68 Virasoro and related algebras
14H81 Relationships between algebraic curves and physics