Séminaire Physique mathématique ICJ

Coends, a Lego-Teichmüller game and correlators in (non-)semisimple conformal field theory

par Christoph Schweigert (Universität Hamburg)

Europe/Paris
Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne
Description
Coends provide the appropriate categorical tool to implement a sum over all states. We use them to set up a Lego-Teichmüller game describing chiral conformal field theories based on non-semisimple modular categories. We show that bulk algebras are described by modular commutative Frobenius algebras.
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