Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line
Nagatomo, Kiyokazu ; Akihiro Tsuchiya
Duke Math. J., Tome 126 (2005) no. 1, p. 393-471 / Harvested from Project Euclid
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Given a chiral vertex operator algebra satisfying a suitable finiteness condition with semisimplicity of the zero-mode algebra as well as a regularity condition for induced modules, we construct conformal field theories over the projective line and prove the factorization theorem. We appropriately generalize the arguments in [TUY] so that we are able to define sheaves of conformal blocks and study them in detail.
Publié le : 2005-06-15
Classification:  81T40 17B69 
@article{1118341229,
     author = {Nagatomo, Kiyokazu and Akihiro Tsuchiya},
     title = {Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line},
     journal = {Duke Math. J.},
     volume = {126},
     number = {1},
     year = {2005},
     pages = { 393-471},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118341229}
}

Nagatomo, Kiyokazu; Akihiro Tsuchiya. Conformal field theories associated to regular chiral vertex operator algebras, I: Theories over the projective line. Duke Math. J., Tome 126 (2005) no. 1, pp.  393-471. http://gdmltest.u-ga.fr/item/1118341229/