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

TL;DR

This paper explicitly gauges all SU(2,1) isometries in an N=2 supergravity hypermultiplet, deriving the superpotential and analyzing supersymmetric RG flows, including flows to flat space and c-theorem violations.

Contribution

It provides the first explicit gauging of all SU(2,1) isometries and derives the comprehensive superpotential for N=2 supergravity hypermultiplets.

Findings

Derived explicit Killing prepotential and superpotential.

Analyzed supersymmetric RG flows including c-theorem violation.

Identified flows from singularities to flat space.

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.