Gauging of N=2 Supergravity Hypermultiplet and Novel Renormalization Group Flows

Abstract

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 z_1 and z_2. 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.

11 pages, Latex, corrected flow in section 3, final version to appear in Nucl.Phys.B

Cited by in corpus (11)

• Superconformal N=2, D=5 matter with and without actions
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Non-Relativistic Solutions of N=2 Gauged Supergravity
• Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces
• Bent BPS domain walls of D=5 N=2 gauged supergravity coupled to hypermultiplets
• Singular 7-manifolds with G_2 holonomy and intersecting 6-branes
• De Sitter vacua from N=2 gauged supergravity
• Five-brane Instantons vs Flux-induced Gauging of Isometries
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• Instanton-induced scalar potential for the universal hypermultiplet
• Nernst branes with Lifshitz asymptotics in N=2 gauged supergravity