The Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras, II
Schlichenmaier, Martin ; Sheinman, Oleg K.
arXiv, 0312040 / Harvested from arXiv
Text on arXiv
This paper continues the same-named article, Part I (math.QA/9812083). We give a global operator approach to the WZWN theory for compact Riemann surfaces of an arbitrary genus g with marked points. Globality means here that we use Krichever-Novikov algebras of gauge and conformal symmetries (i.e. algebras of global symmetries) instead of loop and Virasoro algebras (which are local in this context). The elements of this global approach are described in Part I. In the present paper we give the construction of conformal blocks and the projective flat connection on the bundle constituted by them.
Publié le : 2003-12-01
Classification:  Mathematics - Algebraic Geometry,  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{0312040,
     author = {Schlichenmaier, Martin and Sheinman, Oleg K.},
     title = {The Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations,
  and Krichever-Novikov algebras, II},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312040}
}

Schlichenmaier, Martin; Sheinman, Oleg K. The Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations,
  and Krichever-Novikov algebras, II. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312040/