f-symbols in Robertson-Walker space-times
Florian Catalin Popa, Ovidiu Tintareanu-Mircea
TL;DR
This paper introduces f-symbols in Robertson-Walker space-times, revealing new structures that generate Killing tensors and supersymmetry algebras in stationary cases.
Contribution
It identifies and characterizes f-symbols as novel geometric structures in Robertson-Walker space-times, linking them to symmetries and supersymmetry.
Findings
Existence of f-symbols in stationary Robertson-Walker space-times
F-symbols generate reducible Killing tensors
F-symbols lead to supersymmetry algebras
Abstract
In a Robertson-Walker space-time a spinning particle model is investigated and we show that in a stationary case, there exists a class of new structures called f-symbols which can generate reducible Killing tensors and supersymmetry algebras.
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