English

Fusion symmetric spaces and subfactors

Operator Algebras 2011-08-09 v1 Quantum Algebra

Abstract

We construct analogs of the embedding of orthogonal and symplectic groups into unitary groups in the context of fusion categories. At least some of the resulting module categories also appear in boundary conformal field theory. We determine when these categories are unitarizable, and explicitly calculate the index and principal graph of the resulting subfactors.

Keywords

Cite

@article{arxiv.1108.1428,
  title  = {Fusion symmetric spaces and subfactors},
  author = {Hans Wenzl},
  journal= {arXiv preprint arXiv:1108.1428},
  year   = {2011}
}

Comments

23 pages

R2 v1 2026-06-21T18:47:13.697Z