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Frobenius algebras from CFT

Presented by: 
Mathew Pugh Cardiff University
Date: 
Tuesday 28th March 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: David Evans (Cardiff University)

I will describe the construction of certain preprojective algebras and their generalisations arising from WZW models in Conformal Field Theory. For the case of SU(2), these algebras are the preprojective algebras of ADE type. More generally, these algebras are Frobenius algebras, and their Nakayama automorphism measures how far away the algebra is from being symmetric. I will describe how the Nakayama automorphism arises from this construction, and will describe the construction in the SO(3) case.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons