# Modular invariants from subfactors

@inproceedings{Bockenhauer2000ModularIF, title={Modular invariants from subfactors}, author={Jens Bockenhauer and David E. Evans}, year={2000} }

In these lectures we explain the intimate relationship between modular invariants in conformal field theory and braided subfactors in operator algebras. A subfactor with a braiding determines a matrix $Z$ which is obtained as a coupling matrix comparing two kinds of braided sector induction ("alpha-induction"). It has non-negative integer entries, is normalized and commutes with the S- and T-matrices arising from the braiding. Thus it is a physical modular invariant in the usual sense of… CONTINUE READING

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