Communications in Mathematical Physics

, Volume 357, Issue 1, pp 61–75 | Cite as

Examples of Subfactors from Conformal Field Theory

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Abstract

Conformal field theory (CFT) in two dimensions provides a rich source of subfactors. The fact that there are so many subfactors coming from CFT have led people to conjecture that perhaps all finite depth subfactors are related to CFT. In this paper we examine classes of subfactors from known CFT. In particular we identify the so called \({3^{\mathbb{Z}_2\times \mathbb{Z}_2}}\) subfactor with an intermediate subfactor from conformal inclusion, and construct new subfactors from recent work on holomorphic CFT with central charge 24.

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© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsFoshan UniversityFoshanChina
  2. 2.Department of MathematicsUniversity of California at RiversideRiversideUSA

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