  In the context of six-dimensional supergravity there is a special class of
parent models for five-dimensional theories defined by the four Euclidean
simple Jordan algebras of degree 3. We extend this result to include six-
dimensional parent models for three infinite families of five-dimensional
theories defined by Minkowskian Jordan algebras. Connections of the
six-dimensional models to F-theory constructions are constrained by anomaly
cancellation conditions and the structure of the six-dimensional theory gauge
group.
