Reheating and Cosmic String Production
Chao-Jun Feng, Xian Gao, Miao Li, Wei Song, Yushu Song

TL;DR
This paper calculates the rate of cosmic string production at the end of inflation, finding that highly excited strings are rarely produced, implying slow-roll inflation alone does not generate cosmic strings.
Contribution
It provides a detailed computation of string production rate during inflation using a near-de Sitter spectrum, clarifying the conditions for cosmic string formation.
Findings
Highly excited strings are rarely produced at inflation's end
Slow-roll inflation alone is insufficient for cosmic string generation
The string spectrum in near-de Sitter space informs production rates
Abstract
We compute the string production rate at the end of inflation, using the string spectrum obtained in \lss in a near-de Sitter space. Our result shows that highly excited strings are hardly produced, thus the simple slow-roll inflation alone does not offer a cosmic string production mechanism.
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