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 S-1/Z(2). Relations between the bulk cosmological constant and brane tensions of the boundary planes are discussed. [References: 31]
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