Magnetically-charged supersymmetric flows of gauged $\mathcal{N}\,=\,8$ supergravity in five dimensions

TL;DR

This paper derives and analyzes magnetically-charged supersymmetric flow equations within a specific truncation of five-dimensional gauged $ ext{N}=8$ supergravity, revealing constraints on scalar fields and recovering known $AdS_3$ solutions.

Contribution

It formulates new magnetically-charged flow equations for scalar fields in a truncated supergravity model, highlighting limitations on hypermultiplet scalars and connecting to existing $AdS_3$ solutions.

Findings

Up to two nontrivial hypermultiplet scalars can be active.

Derived explicit magnetically-charged flow equations.

Recovered known $AdS_3$ solutions from the flow equations.

Abstract

We study magnetically-charged supersymmetric flow equations in a consistent truncation of gauged $\mathcal{N}\,=\,8$ supergravity in five dimensions. This truncation gives gauged $\mathcal{N}\,=\,2$ supergravity coupled to two vector multiplets and two hypermultiplets. We derive magnetically-charged flow equations of scalar fields from vector and hypermultiplets. It turns out that there could be only up to two nontrivial scalar fields out of eight from the hypermultiplets. Along the way, we recover some known $AdS_3$ solutions of the flow equations.