Gauge invariants and Killing tensors in higher-spin gauge theories
Xavier Bekaert, Nicolas Boulanger

TL;DR
This paper computes gauge invariants and Killing tensor fields in free symmetric tensor gauge theories on Minkowski space, providing detailed on-shell and off-shell analyses within metric-like formalisms.
Contribution
It offers the first comprehensive calculation of gauge invariants and Killing tensors in higher-spin gauge theories using metric-like formalism.
Findings
Explicit forms of gauge invariant functions derived
Classification of Killing tensor fields obtained
Results applicable to higher-spin theory analysis
Abstract
In free completely symmetric tensor gauge field theories on Minkowski space-time, all gauge invariant functions and Killing tensor fields are computed, both on-shell and off-shell. These problems are addressed in the metric-like formalisms.
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