Gravitating (field theoretical) cosmic (p,q)-superstrings

TL;DR

This paper investigates field theoretical models of cosmic (p,q)-superstrings in curved spacetime, analyzing their solutions, existence conditions, and how string interactions influence their parameter space.

Contribution

It introduces a detailed study of gravitating (p,q)-strings, including both string and Melvin solutions, and explores how interactions extend their existence domain.

Findings

Globally regular gravitating (p,q)-strings exist only within a finite parameter space.

String interactions broaden the parameter range for solutions compared to non-interacting strings.

Different asymptotic behaviors are identified for string and Melvin solutions.

Abstract

We study field theoretical models for cosmic (p,q)-superstrings in a curved space-time. We discuss both string solutions, i.e. solutions with a conical deficit, but also so-called Melvin solutions, which have a completely different asymptotic behaviour. We show that globally regular gravitating (p,q)-strings exist only in a finite domain of the parameter space and study the dependence of the domain of existence on the parameters in the model. We find that due to the interaction between strings, the parameter range where string solution exist is wider than for non-interacting strings.