Supersymmetric configurations in Euclidean Freedman-Schwarz model

TL;DR

This paper explores supersymmetric solutions and stable vacua in a Euclidean supergravity model derived from higher-dimensional theories, revealing new geometries and instanton solutions that preserve partial supersymmetry.

Contribution

It identifies and analyzes supersymmetric configurations and gravitational instantons within the Euclidean Freedman-Schwarz supergravity model, highlighting their geometric structures and stability.

Findings

Supersymmetric domain wall and electro-vac solutions with specific geometries.

Existence of stable Euclidean gravitational instantons with (anti)self-dual gauge fields.

Partial supersymmetry preservation in these instanton solutions.

Abstract

We study Euclidean D=4, N=4 gauged $SU(2) \times SU(1,1)$ supergravity theory which has been obtained from dimensional reduction of N=1, D=10 supergravity on $S^3 \times AdS_3$. We obtain supersymmetric configurations like domain wall, electro-vac type of solutions with geometries $E^2 \times S^2$, $E^2 \times AdS_2$ and axio-vac type $E^1 \times S^3$ solution in this Euclidean Freedman-Schwarz (EFS) model. We also show that the Euclidean gravitational instantons with nontrivial (anti)self-dual U(1) gauge fields are stable vacua preserving one fourth of the original supersymmetry.