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}
}
• 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