Corpus ID: 237453649

Nondegenerate extensions of near-group braided fusion categories

@inproceedings{Schopieray2021NondegenerateEO,
  title={Nondegenerate extensions of near-group braided fusion categories},
  author={Andrew Schopieray},
  year={2021}
}
This is a study of weakly integral braided fusion categories with elementary fusion rules to determine which possess nondegenerately braided extensions of theoretically minimal dimension, or equivalently in this case, which satisfy the minimal modular extension conjecture. We classify near-group braided fusion categories satisfying the minimal modular extension conjecture; the remaining Tambara-Yamagami braided fusion categories provide arbitrarily large families of braided fusion categories… Expand

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