Krichever-Novikov type algebras and Wess-Zumino-Witten models

Reference : Krichever-Novikov type algebras and Wess-Zumino-Witten models


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/23007

Title :	Krichever-Novikov type algebras and Wess-Zumino-Witten models
Language :	English
Author, co-author :	Schlichenmaier, Martin [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	14-Dec-2015
Number of pages :	35
Peer reviewed :	No
Keywords :	[en] Krichever-Novikov type algebras ; conformal field theory ; Lie algebras
Abstract :	[en] Krichever--Novikov type algebras are generalizations of the Witt, Virasoro, affine Lie algebras, and their relatives to Riemann surfaces of arbitrary genus and/or the multi-point situation. They play a very important role in the context of quantization of Conformal Field Theory. In this review we give the most important results about their structure, almost-grading and central extensions. Furthermore, we explain how they are used in the context of Wess--Zumino--Novikov--Witten models, respectively Knizhnik-Zamolodchikov connections. There they play a role as gauge algebras, as tangent directions to the moduli spaces, and as Sugawara operators.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/23007

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