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Fusion rules of modular invariants

Operator Algebras 2009-11-07 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Modular invariants satisfy remarkable fusion rules. Let ZZ be a modular invariant associated to a braided subfactor NMN\subset M. The decomposition of the non-normalized modular invariants ZZZ Z^{*} and ZZZ^{*}Z into sums of normalized modular invariants is related to the decomposition of the full induced MMM-M system of sectors.

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Cite

@article{arxiv.math/0204278,
  title  = {Fusion rules of modular invariants},
  author = {David E Evans},
  journal= {arXiv preprint arXiv:math/0204278},
  year   = {2009}
}

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23 pages