Corpus ID: 119126703

Computing Modular Data for Pointed Fusion Categories.

@article{Gruen2018ComputingMD,
  title={Computing Modular Data for Pointed Fusion Categories.},
  author={Angus Gruen and Scott Morrison},
  journal={arXiv: Quantum Algebra},
  year={2018}
}
  • Angus Gruen, Scott Morrison
  • Published 2018
  • Mathematics
  • arXiv: Quantum Algebra
  • A formula for the modular data of $\mathcal{Z}(Vec^{\omega}G)$ was given by Coste, Gannon and Ruelle in arXiv:hep-th/0001158, but without an explicit proof for arbitrary 3-cocycles. This paper presents a derivation using the representation category of the quasi Hopf algebra $D^{\omega}G$. Further, we have written code to compute this modular data for many pairs of small finite groups and 3-cocycles. This code is optimised using Galois symmetries of the S and T matrices. We have posted a… CONTINUE READING

    Figures from this paper.

    Integral Metaplectic Modular Categories
    1

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 25 REFERENCES
    Representation Theory of Twisted Group Double
    11
    Morita equivalence of pointed fusion categories of small rank
    4
    Finite group modular data
    78
    Computing 2-cocyeles for central extensions and relative difference sets
    13
    Quasi-quantum groups, knots, three-manifolds, and topological field theory
    98
    A guide to quantum groups
    1524
    Quasihopf Algebras, Group Cohomology and Orbifold Models
    135
    The Exoticness and Realisability of Twisted Haagerup–Izumi Modular Data
    56