Supersymmetric solitons in gauged $\mathcal{N}=8$ supergravity

TL;DR

This paper explores supersymmetric and non-supersymmetric soliton solutions in AdS4 within gauged l8 supergravity, analyzing phase structure, Wilson loop effects, and energy degeneracies of solutions.

Contribution

It constructs new soliton solutions parameterized by Wilson lines in a scalar truncation of l8 supergravity and analyzes their supersymmetry and energy properties.

Findings

Identified degeneracy among supersymmetric solutions.

Discovered non-supersymmetric solitons with lower energy under alternate boundary conditions.

Mapped phase structure related to Wilson loop parameters.

Abstract

We consider soliton solutions in AdS$_{4}$ with a flat slicing and Wilson loops around one cycle. We study the phase structure and find the ground state and identify supersymmetric solutions as a function of the Wilson loops. We work in the context of a scalar field truncation of gauged $\mathcal{N}=8$ supergravity, where all the dilatons are equal and all the axions vanish in the STU model. In this theory, we construct new soliton solutions parameterized by two Wilson lines. We find that there is a degeneracy of supersymmetric solutions. We also show that, for alternate boundary conditions, there exists a non-supersymmetric soliton solution with energy lower than the supersymmetric one.