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Vertex Operator Algebras from Calabi-Yau Geometries

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OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras

Vertex operator algebras occur naturally as mathematically well tractable ingredients to conformal field theories (CFTs), capturing in general only a small part of the structure of the latter. The talk will highlight a few examples for which this procedure yields a natural route from Calabi-Yau geometries to vertex operator algebras. Moreover, we will discuss a new technique, developed in joint work with Anne Taormina, which transforms certain CFTs into vertex operator algebras and their admissible modules, thus capturing a major part of the structure of the CFT in terms of a vertex operator algebra.

This talk is part of the Isaac Newton Institute Seminar Series series.

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