Elements of a global operator approach to the WZNW models for compact Riemann
surfaces of arbitrary genus g with N marked points were given by Schlichenmaier
and Sheinman. This contribution reports on the results. The approach is based
on the multi-point Krichever-Novikov algebras of global meromorphic functions
and vector fields, and the global algebras of affine type and their
representations. Using the global Sugawara construction and the identification
of a certain subspace of the vector field algebra with the tangent space to the
moduli space of the geometric data, Knizhnik-Zamalodchikov equations are
defined. Some steps of the approach of Tsuchia, Ueno and Yamada to WZNW models
are presented to compare it with our approach.
@article{0001040,
author = {Schlichenmaier, Martin},
title = {Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten
Models},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0001040}
}
Schlichenmaier, Martin. Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten
Models. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0001040/