Fusion rules of modular invariants

Abstract

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

23 pages

References in corpus (5)

• Boundary Conditions in Rational Conformal Field Theories
• On $\alpha$-induction, chiral generators and modular invariants for subfactors
• Chiral structure of modular invariants for subfactors
• Chiral Observables and Modular Invariants
• Canonical tensor product subfactors

Cited by in corpus (8)

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• Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)
• Spectral Measures for $G_2$
• A relative tensor product of subfactors over a modular tensor category
• On local boundary CFT and non-local CFT on the boundary