|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
Conformal field theory, operator algebras and vertex operator algebras
We have two mathematical axiomatizations of a chiral conformal field theory. One is a local conformal net, which is based on theory of operator algebras and the other is a vertex operator algebra, which is purely algebraic. We compare two theories and give a direct relation between them. We emphasize representation theoretic aspects.
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