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Classification of Unitary RCFTs with Two Primaries and c<25

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NC2W02 - Crossing the bridge: New connections in number theory and physics

I will present a classification of all unitary, rational conformal field theories with two primaries, central charge c < 25, and arbitrary Wronskian index. These are shown to be either certain level-1 WZW models or cosets of meromorphic theories by such models. By leveraging the existing classification of  meromorphic CFTs of central charge c ≤ 24, all the relevant cosets are enumerated and their characters computed. This leads to 123 theories, most of which are new. It will be emphasised that this is a classification of RCF Ts and not just consistent characters. Work in collaboration with Brandon Rayhaun.

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

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