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most citedModular Invariants, Graphs and -Induction for Nets of Subfactors. III

176 citations · 687 across the 8 of their papers we have counts for

collaborators

13 papers

math.OA2000★ 1 cited

Longo-Rehren subfactors arising from -induction

J. Böckenhauer, D. E. Evans, Y. Kawahigashi

We study (dual) Longo-Rehren subfactors arising from various systems of endomorphisms of M obtained from alpha-induction for some braided subfactor $N\…

math.OA1999★ 43 cited

Modular Invariants from Subfactors: Type I Coupling Matrices and Intermediate Subfactors

J. Böckenhauer, D. E. Evans

A braided subfactor determines a coupling matrix Z which commutes with the S- and T-matrices arising from the braiding. Such a coupling matrix is not necessarily of "type I", i.e.…

math.OA1999★ 156 cited

Chiral structure of modular invariants for subfactors

J. Böckenhauer, D. E. Evans, Y. Kawahigashi

In this paper we further analyze modular invariants for subfactors, in particular the structure of the chiral induced systems of M-M morphisms. The relative braiding between the ch…

math.OA1999★ 156 cited

On -induction, chiral generators and modular invariants for subfactors

J. Böckenhauer, D. E. Evans, Y. Kawahigashi

We consider a type III subfactor of finite index with a finite system of braided - morphisms which includes the irreducible constituents of the dual canonical en…

hep-th1998★ 176 cited

Modular Invariants, Graphs and -Induction for Nets of Subfactors. III

J. Böckenhauer, D. E. Evans

In this paper we further develop the theory of -induction for nets of subfactors, in particular in view of the system of sectors obtained by mixing the two kinds of induction ar…

hep-th1998★ 65 cited

Modular Invariants, Graphs and -Induction for Nets of Subfactors II

J. Bockenhauer, D. E. Evans

We apply the theory of -induction of sectors which we elaborated in our previous paper to several nets of subfactors arising from conformal field theory. The main application ar…