We construct a consistent reduction of type IIA supergravity on S 3 , leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S 4 reduction of eleven-dimensional super-gravity, and showing that it is possible to take a singular limit of the resulting standard SO(5)-gauged maximal supergravity in se...
