Numerical evidence for a Haagerup conformal field theory

Understand

We numerically study an anyon chain based on the Haagerup fusion category, and find evidence that it leads in the long-distance limit to a conformal field theory whose central charge is $\sim 2$.

• Fusion categories generalize the concept of finite group symmetries to non-invertible symmetry operations, and the Haagerup fusion category is the simplest one which comes neither from finite groups nor affine Lie algebras.
• As such, ours is the first example of conformal field theories which have truly exotic generalized symmetries.