XXXVII Workshop on Geometric Methods in Physics | 1-7.07.2018 |

VII School on Geometry and Physics | 25-29.06.2018 |

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## Yasuyuki Kawahigashi## Conformal field theory, operator algebras and vertex operator algebrasWe 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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University of Bialystok |

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