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NIM-reps in boundary rational conformal field theory

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BID - Quantum field theory with boundaries, impurities, and defects

An important result from Behrend-Pearce-Petkova-Zuber proved in the late 90s that solving Cardy’s equation in a boundary rational conformal field theory is equivalent to finding the non-negative integer valued matrix representation (NIM-reps for short) of its Verlinde algebra, or fusion ring in mathematical terms. I will present some recent advances towards the study and classification of NIM -reps for several different families of fusion rings, and how we can use these to help us tackling further problems in category theory

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

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