Automatic enhancement in 6D supergravity and F-theory models

We observe that in many F-theory models, tuning a specific gauge group $G$ and matter content $M$ under certain circumstances leads to an automatic enhancement larger $G' \supset G$ $M' M$. propose this is true for any theory $G, M$ whenever there exists containing $G', M'$ cannot be Higgsed down give number of examples including non-Higgsable factors, nonabelian abelian exotic matter. In each these cases, model with the desired features produces either or inconsistency, often when associated anomaly coefficient becomes too large. This principle applies variety models apparent 6D supergravity swampland, some simplest cases U(1) SU(N) groups generic matter, as well infinite families higher charges presented prior literature, potentially ruling out all swampland theories.