TL;DR
This paper investigates massive spinor fields around a cosmic string in de Sitter space, revealing hidden supersymmetry and linking zero modes to the Witten index, enhancing understanding of quantum fields in curved spacetime.
Contribution
It uncovers a hidden N=2 supersymmetry in fermionic solutions around cosmic strings in de Sitter space and connects zero modes to the Witten index.
Findings
Discovery of hidden N=2 supersymmetry in fermionic solutions.
Connection between zero modes and the heat-kernel regularized Witten index.
Insights into quantum field behavior in curved spacetime with cosmic strings.
Abstract
We study massive spinor fields in the geometry of a straight cosmic string in a de Sitter background. We find a hidden N=2 supersymmetry in the fermionic solutions of the equations of motion. We connect the zero mode solutions to the heat-kernel regularized Witten index of the supersymmetric algebra.
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