N=2 Heterotic Stringy Cosmic Strings

TL;DR

This paper constructs explicit N=2 heterotic string solutions representing cosmic strings with finite energy, involving modular forms and T-duality, and analyzes their supersymmetry breaking and singularity resolution.

Contribution

It provides new solitonic string solutions in N=2 heterotic models with detailed modular form descriptions and T-duality group structures.

Findings

Solutions have constant dilaton and varying moduli fields.

Solutions break half of the supersymmetries.

Singularities are resolved in a Ricci flat manner.

Abstract

We construct solitonic string solutions of N=2 four-dimensional heterotic models of rank three, four and five. These finite energy configurations have constant dilaton while the moduli fields vary over space-time with jumps at the location of the string cores consistent with the T-duality groups SL(2,Z), SL(2,Z) X SL(2,Z) and Sp(4,Z). The solutions are expressed in terms of modular forms of the T-duality group. They break half of the supersymmetries and the vacuum contain a certain number of solitonic strings in order the singularities to be resolved in a Ricci flat way.