From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
Anomalies of 4d Spin G theories
3 Pith papers cite this work. Polarity classification is still indexing.
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Broken higher-group and non-invertible symmetries still act on the space of couplings, and their 'family anomalies' force the infrared theory to be gapless, spontaneously broken, or interrupted by a phase transition.
Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.
citing papers explorer
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Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension
From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
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Generalized Families of QFTs
Broken higher-group and non-invertible symmetries still act on the space of couplings, and their 'family anomalies' force the infrared theory to be gapless, spontaneously broken, or interrupted by a phase transition.
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Gauging in superconductors and other electronic systems
Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.