Gauging of N=2 supergravity hypermultiplet and novel renormalization group flows Original Research Article

We provide the explicit gauging of all the SU(2,1) isometries of one N=2 supergravity hypermultiplet, which spans SU(2,1)/U(2) coset space parameterized in terms of two complex projective coordinate fields z1 and z2. We derive the full, explicit Killing prepotential that specifies the most general superpotential. As an application we consider the supersymmetric flow (renormalization group) equations for: (i) the flow from a null singularity to the flat, supersymmetric space–time and (ii) the flow that violates c-theorem with the superpotential crossing zero.