Vacua Landscape Attractor

TL;DR

This paper explores how attractor solutions in a toy model of self-interacting membranes could explain vacuum selection in string theory landscapes, potentially addressing the hierarchy problem.

Contribution

It introduces a toy model demonstrating that generic self-interactions lead to attractor solutions, offering insights into vacuum selection mechanisms.

Findings

Attractor solutions exist for generic interactions

The model provides a possible explanation for vacuum selection

Implications for the hierarchy problem in string theory

Abstract

The recent progress in the understanding of the landscape of string theory vacua hints that the hierarchy problem might be the problem of a super-selection rule. The attractor mechanism gives a possibility to explain the choice of a vacuum. We consider a toy model of self-interacting membranes and show that for a very generic interaction there are attractor solutions.