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Frobenius algebras from CFT

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

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.

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

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