SU(3)-Goodman-de la Harpe-Jones subfactors and the realisation of SU(3) modular invariants
David E. Evans, Mathew Pugh
TL;DR
This paper completes the realization of all SU(3)-modular invariant partition functions through braided subfactors, confirming a classification previously established by Gannon and announced by Ocneanu.
Contribution
It provides a comprehensive realization of SU(3)-modular invariants using braided subfactors, advancing the understanding of their algebraic structure.
Findings
All classified SU(3)-modular invariants are realized by braided subfactors.
Confirms and completes Ocneanu's announced program.
Bridges the classification with explicit algebraic constructions.
Abstract
We complete the realisation by braided subfactors, announced by Ocneanu, of all SU(3)-modular invariant partition functions previously classified by Gannon.
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