Supersymmetry and the Supergravity Landscape

TL;DR

This paper reviews recent progress in understanding the landscape of string theory vacua, focusing on supersymmetric solutions within supergravity, especially in the context of N=4, d=4 supergravity, to shed light on vacuum selection.

Contribution

It provides a comprehensive review of methods and results for classifying all supersymmetric solutions in N=4, d=4 supergravity, advancing the understanding of the string theory landscape.

Findings

Classification of supersymmetric solutions in N=4, d=4 supergravity

Insights into the structure of the string landscape

Progress towards understanding vacuum selection mechanisms

Abstract

In the recent times a lot of effort has been devoted to improve our knowledge about the space of string theory vacua (``the landscape'') to find statistical grounds to justify how and why the theory selects its vacuum. Particularly interesting are those vacua that preserve some supersymmetry, which are always supersymmetric solutions of some supergravity theory. After an general introduction to how the pursuit of unification has lead to the vacuum selection problem, we are going to review some recent results on the problem of finding all the supersymmetric solutions of a supergravity theory applied to the N=4,d=4 supergravity case.