Modular invariants from subfactors

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