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Krichever-Novikov type algebras and Wess-Zumino-Witten models
SCHLICHENMAIER, Martin
2015
 

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Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
SCHLICHENMAIER, Martin  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Krichever-Novikov type algebras and Wess-Zumino-Witten models
Publication date :
14 December 2015
Number of pages :
35
Available on ORBilu :
since 15 December 2015

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