English

The classification of subfactors with index at most $5 \frac{1}{4}$

Operator Algebras 2015-09-02 v1 Combinatorics Category Theory Quantum Algebra

Abstract

Subfactor standard invariants encode quantum symmetries. The small index subfactor classification program has been a rich source of interesting quantum symmetries. We give the complete classification of subfactor standard invariants to index 5145\frac{1}{4}, which includes 3+53+\sqrt{5}, the first interesting composite index.

Keywords

Cite

@article{arxiv.1509.00038,
  title  = {The classification of subfactors with index at most $5 \frac{1}{4}$},
  author = {Narjess Afzaly and Scott Morrison and David Penneys},
  journal= {arXiv preprint arXiv:1509.00038},
  year   = {2015}
}