Topological Defects in the Moduli Sector of String Theory

TL;DR

This paper explores how the moduli sector in certain string compactifications can host stable topological defects like domain walls, monopoles, and textures, which could influence large-scale structure formation in the universe.

Contribution

It demonstrates the existence of supersymmetric topological defects in string theory moduli sectors, including domain walls, monopoles, and textures, with stability ensured by supersymmetry and higher derivative terms.

Findings

Found supersymmetric stringy domain walls saturating the Bogomolnyi bound.

Identified moduli sectors supporting monopole and texture configurations.

Showed stability of these defects through supersymmetry and higher derivative terms.

Abstract

We point out that the moduli sector of the $(2,2)$ string compactification with its nonperturbatively preserved non-compact symmetries is a fertile framework to study global topological defects, thus providing a natural source for the large scale structure formation. Based on the target space modular invariance of the nonperturbative superpotential of the four-dimensional N=1 supersymmetric string vacua, topologically stable stringy domain walls are found. They are supersymmetric solutions, thus saturating the Bogomolnyi bound. It is also shown that there are moduli sectors that allow for the global monopole-type and texture-type configurations whose radial stability is ensured by higher derivative terms.