On quantum symmetries of the non--ADE graph F4
Robert Coquereaux (CPT), Esteban Isasi (CPT)
TL;DR
This paper investigates quantum symmetries linked to the F4 Dynkin diagram by analyzing the modular splitting equation and its invariance under a specific congruence subgroup of the modular group.
Contribution
It provides a detailed description of quantum symmetries for the F4 graph, extending the understanding of quantum symmetries beyond ADE classifications.
Findings
Quantum symmetries for F4 are characterized.
The modular splitting equation is solved for F4.
Invariance under a specific congruence subgroup is established.
Abstract
We describe quantum symmetries associated with the F4 Dynkin diagram. Our study stems from an analysis of the (Ocneanu) modular splitting equation applied to a partition function which is invariant under a particular congruence subgroup of the modular group.
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