Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
Yonekura,General anomaly matching by Goldstone bosons,JHEP03(2021) 057, arXiv:2009.04692 [hep-th]
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