Bosonic structure of realistic SO(10) SUSY cosmic strings

TL;DR

This paper investigates the detailed bosonic structure of cosmic strings arising in a realistic SO(10) supersymmetric grand unified theory, integrating inflationary dynamics and providing numerical analysis of string configurations.

Contribution

It offers a comprehensive tensor formulation of the scalar sector and a detailed numerical study of the bosonic structure of SO(10) SUSY cosmic strings within an inflationary context.

Findings

Explicit tensor formulation of scalar sector

Numerical solutions of string structure

Analysis of symmetry breaking and inflationary effects

Abstract

We study the bosonic structure of $F$-term Nambu-Goto cosmic strings forming in a realistic SO(10) implementation, assuming standard hybrid inflation. We describe the supersymmetric grand unified theory, and its spontaneous symmetry breaking scheme in parallel with the inflationary process. We also write the explicit tensor formulation of its scalar sector, focusing on the sub-representations singlet under the standard model, which is sufficient to describe the string structure. We then introduce an ansatz for abelian cosmic strings, discussing in details the hypothesis, and write down the field equations and boundary conditions. Finally, after doing a perturbative study of the model, we present and discuss the results obtained with numerical solutions of the string structure.