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  • Fibonacci-type orbifold data in Ising modular categories
    In Ising-type modular categories we find new examples of orbifold data which – in an appropriate sense – exhibit Fibonacci fusion rules The corresponding orbifold modular categories have 11 simple objects, and for a certain choice of parameters one obtains the modular category for sl(2)at level 10
  • Fibonacci-type orbifold data in Ising modular categories
    All previously known examples of orbifold data were of three types: a) those obtained from a commutative algebra A, b) those obtained from a G-crossed ribbon category for a nite group G, and c) those obtained from a spherical fusion category [CRS3]
  • Category of SET orders - arXiv:2312. 15958 - bimsa. net
    Note that a non-degenerate braided fusion n-category M is non-chiral if and only if Σ2M = (n + 2)Vec Although a chiral topological order is gravitational anomaly-free, we consider ‘chiral’ as a kind of anomaly due to the non-trivial bulk (Witt class) label
  • Fusion Categories
    We can use these numbers and equations to look for solutions to the various identities required of fusion rings (so in particular find all possible categorifications of a given fusion ring) and pentagon equations in order to find and search for computer-assisted classification of fusion categories
  • Fusion category symmetry. Part I. Anomaly in-flow and gapped . . .
    We describe how to “ungauge” the fusion category symmetry in these boundary conditions and separate the symmetry-preserving phases from the symmetry-breaking ones
  • On fusion categories - Annals of Mathematics
    Using a variety of methods developed in the literature (in particular, the theory of weak Hopf algebras), we prove a number of general results about fusion categories in characteristic zero
  • Fibonacci-type orbifold data in Ising modular categories
    We introduce a finiteness property for braided fusion categories, describe a conjecture that would characterize categories possessing this, and verify the conjecture in a number of important





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