Dimension as a quantum statistic and the classification of metaplectic categories.

@article{Bruillard2017DimensionAA,
  title={Dimension as a quantum statistic and the classification of metaplectic categories.},
  author={P. Bruillard and Paul Gustafson and J. Plavnik and Eric C. Rowell},
  journal={arXiv: Quantum Algebra},
  year={2017}
}
We discuss several useful interpretations of the categorical dimension of objects in a braided fusion category, as well as some conjectures demonstrating the value of quantum dimension as a quantum statistic for detecting certain behaviors of anyons in topological phases of matter. From this discussion we find that objects in braided fusion categories with integral squared dimension have distinctive properties. A large and interesting class of non-integral modular categories such that every… Expand
6 Citations
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