U(N) GAUGED ${\mathcal N} = 2$ SUPERGRAVITY AND PARTIAL BREAKING OF LOCAL ${\mathcal N} = 2$ SUPERSYMMETRY

We study a U(N) gauged supergravity model with one hypermultiplet parametrizing SO(4, 1)/SO(4) quaternionic manifold. Local supersymmetry is known to be spontaneously broken to in the Higgs phase of U(1)graviphoton × U(1). Several properties are obtained of this model in the vacuum of unbroken SU(N) gauge group. In particular, we derive mass spectrum analogous to the rigid counterpart and put the entire resulting potential on this vacuum in the standard superpotential form of supergravity.

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