A gauge field theory of fermionic Continuous-Spin Particles
X. Bekaert, M. Najafizadeh, M. R. Setare

TL;DR
This paper proposes a local covariant gauge field theory for fermionic continuous-spin particles, unifying massless half-integer spins through a novel action invariant under gauge transformations.
Contribution
It introduces a new gauge-invariant action for fermionic CSPs that does not require constraints on fields or gauge parameters, connecting to Fang-Fronsdal equations.
Findings
Derived a local covariant action for fermionic CSPs
Showed the gauge invariance without constraints
Connected CSP equations to Fang-Fronsdal equations
Abstract
In this letter, we suggest a local covariant action for a gauge field theory of fermionic Continuous-Spin Particles (CSPs). The action is invariant under gauge transformations without any constraint on both the gauge field and the gauge transformation parameter. The Fang-Fronsdal equations for a tower of massless fields with all half-integer spins arise as a particular limit of the equation of motion of fermionic CSPs.
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