In this talk I will present a general framework to study gapped phases and phase transitions of (1+1)d theories in the presence of non-invertible symmetries. This outlines a categorical version of the well known Landau paradigm for second order phase transitions. I will also show how we can use this approach to make progress on the longstanding question of finding a conformal field theory with the exotic Haagerup symmetry.
Lea Bottini (Oxford): Categorical Landau paradigm and Haagerup symmetry
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