The notion of weak quasi-Hopf algebra was introduced by Mack and Schomerus as an extension of that of quasi-Hopf algebra due to Drin- feld to study WZW models of Conformal Field Theory. In my talk we shall discuss how weak quasi-Hopf algebras may turn useful to connect these models with quantum groups at roots of unity and we shall dis- cuss questions of unitarizability or equivalences of their representation categories. The talk is based on a joint work with Sebastiano Carpi and Sergio Ciamprone.
Quantum Groups and Conformal Field Theory / Pinzari, Claudia. - (2019). (Intervento presentato al convegno Noncommutative manifolds and their symmetries tenutosi a Scalea).
Quantum Groups and Conformal Field Theory
Claudia Pinzari
2019
Abstract
The notion of weak quasi-Hopf algebra was introduced by Mack and Schomerus as an extension of that of quasi-Hopf algebra due to Drin- feld to study WZW models of Conformal Field Theory. In my talk we shall discuss how weak quasi-Hopf algebras may turn useful to connect these models with quantum groups at roots of unity and we shall dis- cuss questions of unitarizability or equivalences of their representation categories. The talk is based on a joint work with Sebastiano Carpi and Sergio Ciamprone.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
