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Updated: Sep 6, 2025
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Numerical Evidence for a Haagerup Conformal Field Theory
Tzu-Chen Huang1, Ying-Hsuan Lin2, Kantaro Ohmori3
1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
Abstract:
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 ∼2. Fusion categories generalize the concept of finite group symmetries to noninvertible symmetry operations, and the Haagerup fusion category is the simplest one which comes from neither finite groups nor affine Lie algebras. As such, ours is the first example of conformal field theories which have truly exotic generalized symmetries. Basically the same result was independently obtained in the preceding Letter [Phys. Rev. Lett. 128, 231602 (2022)PRLTAO0031-900710.1103/PhysRevLett.128.231602].
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