New Supersymmetric Vacua for N=4, D=4 Gauged Supergravity

TL;DR

This paper discovers new supersymmetric vacuum solutions in four-dimensional N=4 gauged supergravity, including brane-like configurations with various supersymmetry fractions, and explores their properties and differences from higher-dimensional theories.

Contribution

It presents novel supersymmetric vacuum solutions in N=4 gauged supergravity, including configurations with nontrivial axionic and gauge fields, and analyzes their geometric and supersymmetric features.

Findings

Vacuum solutions preserve half or quarter supersymmetry

Existence of stable vacua with axionic charges and $AdS_3\times R^1$ geometry

Domain walls cannot be interpreted as 2-branes in four dimensions

Abstract

In this paper we obtain supersymmetric brane-like configurations in the vacuum of N=4 gauged $SU(2)\times SU(2)$ supergravity theory in four spacetime dimensions. Almost all of these vacuum solutions preserve either half or one quarter of the supersymmetry in the theory. We also study the solutions in presence of nontrivial axionic and gauge field backgrounds. In the case of pure gravity with axionic charge the geometry of the spacetime is $AdS_3\times R^1$ with N=1 supersymmetry. An interesting observation is that the domain walls of this theory cannot be given an interpretation of a 2-brane in four dimensions. But it still exists as a stable vacuum. This feature is quite distinct from the domain-wall configuration in massive type IIA supergravity in ten dimensions.