U-duality and non-BPS solutions

TL;DR

This paper explores how U-duality transformations affect extremal solutions in the STU model, generating new non-BPS multi-center solutions and expanding understanding of their structure.

Contribution

It explicitly derives the U-duality action on both BPS and non-BPS extremal solutions, producing new solutions and suggesting the most general class of non-BPS multi-center solutions.

Findings

Generated new non-BPS extremal solutions via U-duality

Demonstrated non-closure of known non-BPS solutions under U-duality

Expanded the classification of extremal solutions in the STU model

Abstract

We derive the explicit action of the U-duality group of the STU model on both BPS and non-BPS extremal multi-center solutions. As the class of known non-BPS extremal solutions is not closed under U-duality, we generate in this way new solutions. These should represent the most general class of extremal non-BPS multi-center under-rotating solutions of the STU model.