Five - dimensional vector - coupled supergravity on a manifold with boundaries 1

We consider the bosonic and fermionic symmetries of five-dimensional Maxwelland YangMills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M × S/Z2). Due to the appearance of the “Chern-Simons” term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an “inflow” governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions. May 2007 1 Work supported by the European Commission RTN program “Constituents, Fundamental Forces and Symmetries of the Universe” MRTN-CT-2004-005104 and by INFN, PRIN prot.2005024045-002 [email protected]