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Cancellation of all local gauge anomalies among chiral fermion representations, required for a consistent quantum gauge theory; the Standard Model representation assignments satisfy these constraints.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
chiral_to_anomalycancellation
Relation type
Theorem implication theorem-implication
Direction
source → target
Endpoint roles
source: Implies by theorem; target: Follows by theorem from
Authored annotation
complete chiral content cancels anomalies
Authored explanation
For the complete chiral fermion content of each Standard Model generation, the hypercharges and color/weak representations cancel the perturbative gauge, mixed gauge–gravitational, and cubic hypercharge anomalies. An isolated chiral multiplet generally does not.
How to interpret this relation type
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.