Fusion symmetric spaces and subfactors

Hans Wenzl

Vol. 259 (2012), No. 2, 483–510

DOI: 10.2140/pjm.2012.259.483

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

module tensor categories, subfactors, q-Brauer algebra

Mathematical Subject Classification 2010

Primary: 46L10

Milestones

Received: 19 July 2011

Accepted: 15 May 2012

Published: 3 October 2012