Table 1 Values of the shifts Embedded Image in Eq. 2 for the kagome model.

On the YC8-0 cylinder, Embedded Image equals the internal gauge flux φ = π.

Dirac flavorYC8-0YC8-2
↑, QEmbedded Imageππ/2
↑, − QEmbedded Imageπ− π/2
↓, QEmbedded Imageπ− π/2
↓, − QEmbedded Imageππ/2