Vertex operator algebras, fusion rules and modular transformations

Mathematics – Quantum Algebra

Scientific paper

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21 pages. To appear in Proceedings of the conference "Non-commutative Geometry and Representation Theory in Mathematical Physi

Scientific paper

We discuss a recent proof by the author of a general version of the Verlinde
conjecture in the framework of vertex operator algebras and the application of
this result to the construction of modular tensor tensor category structure on
the category of modules for a vertex operator algebra.

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