P-term Strings and Semi-local Strings
C. Burrage, A. C. Davis

TL;DR
This paper analyzes P-term and semi-local cosmic strings, deriving their equations, stability conditions, and fermionic zero modes, with implications for early universe inflation.
Contribution
It provides a comprehensive analysis of P-term and semi-local strings, including their equations, stability, and fermionic zero modes, extending previous studies.
Findings
Derived Bogomol'nyi equations for both string types
Analyzed stability conditions of the strings
Discussed fermionic zero modes and inflationary implications
Abstract
P-term potentials can give rise to Nielsen-Olesen or semi-local cosmic strings. We present a general analysis of these cosmic strings where we derive the Bogomol'nyi equations and field profiles for both types of string and discuss their stability. We give an analysis of the fermionic zero modes that could live on the strings and a brief discussion of the inflationary period preceding their formation.
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