Scalar-Induced Compactifications in Higher Dimensional Supergravities

We discuss compactifications of higher dimensional supergravities which are induced by scalars. In particular, we consider vector multiplets coupled to the supergravity multiplet in the case of D=9, 8 and D=7 minimal supergravities. These vector multiplets contain scalars, which parametrize coset spaces of the general form SO(10-D,n)/SO(10-D)xSO(n), where n is the number of vector multiplets. We discuss the compactification of the supergravity theory to D-2 dimensons, which is induced by non-trivial vacuum scalar field configurations. There are singular and non-singular solutions, which preserve half of the supersymmetries.