Off-Shell Formulation of Supergravity on an Orbifold

An off-shell formulation is given for the supersymmetry in singular spaces that has recently been developed in an on-shell formalism by Bergshoeff, Kallosh and Van Proeyen using a supersymmetry singlet `coupling constant' field and a 4-form multiplier field in five-dimensional space-time. We present this formulation for a general supergravity-Yang-Mills-hypermultiplet coupled system compactified on an orbifold S¹/Z₂. Relations between the bulk cosmological constant and brane tensions of the boundary planes are discussed.