On invariants of Modular categories beyond modular data
Quantum Algebra
2018-07-02 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on the -matrix--the quantum invariant of a colored framed Whitehead link from the associated TQFT of a modular category. We prove that the -matrix and the set of punctured -matrices are strictly beyond the modular data . Whether or not the triple constitutes a complete invariant of modular categories remains an open question.
Cite
@article{arxiv.1805.05736,
title = {On invariants of Modular categories beyond modular data},
author = {Parsa Bonderson and Colleen Delaney and César Galindo and Eric C. Rowell and Alan Tran and Zhenghan Wang},
journal= {arXiv preprint arXiv:1805.05736},
year = {2018}
}
Comments
24 pages; references to arXiv:1606.04378 and arXiv:1806.02843 are added