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We argue for the quantum-gravitational inconsistency of certain 6d$\mathcal{N}=(1,0)$ supergravity theories, whose anomaly-free gauge algebra$\mathfrak{g}$ and hypermultiplet spectrum $M$ were observed inarxiv:2012.01437 to be realizable only as part of a larger gauge sector$(\mathfrak{g}' \supset \mathfrak{g}, M' \supset M)$ in F-theory. To detach anyreference to a string theoretic method of construction, we utilize flavorsymmetries to provide compelling reasons why the vast majority of such$(\mathfrak{g},M)$ theories are not compatible with quantum gravityconstraints, and how the "automatic enhancement" to $(\mathfrak{g}', M')$remedies this. In the first class of models, with $\mathfrak{g}' = \mathfrak{g}\oplus \mathfrak{h}$, we show that there exists an unbroken flavor symmetry$\mathfrak{h}$ acting on the matter $M$, which, if ungauged, would violate theNo-Global-Symmetries Hypothesis. This argument also applies to 1-form centersymmetries, which govern the gauge group topology and massive states inrepresentations different than those of massless states. In a second class, wefind that $\mathfrak{g}$ is incompatible with the flavor symmetry of certainBPS strings that must exist by the Completeness Hypothesis.

Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland