Comformal Field Theory defined by regular chiral vertex operator algebras

Akihiro Tsuchiya
Nagoya University
Mathematics

In this talk, I'll present some regularity conditions of chiral vertex operator algebras which is sufficient conditions that these algebras can define good conformal field theory.
Good conformal field theory satisfied the conditions of semi-simplicity of the category of modules of this algebra, finite dimensionality of conformal blocks, and factorization properties of conformal blocks.


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