Supersymmetric Continuous Spin Gauge Theory

Abstract

Taking into account the Schuster-Toro action and its fermionic analogue discovered by us, we supersymmetrize unconstrained formulation of the continuous spin gauge field theory. Afterwards, building on the Metsaev actions, we supersymmetrize constrained formulation of the theory. In each formulation, we provide supersymmetry transformations for the $\mathcal{N}=1$ supermultiplet in four-dimensional flat space-time, in which continuous spin particle (CSP) is considered to be a complex scalar continuous spin field, and its superpartner which can be called ``\,CSPino\,'' is considered to be a Dirac continuous spin field. It is shown that the algebra of these supersymmetry transformations are closed on-shell. Furthermore, we investigate whether obtained supersymmetry transformations reproduce the known result of the higher spin gauge field theory in the helicity limit. Finally, we illustrate how these two separate set of obtained transformations are related to each other.

25 pages, v2: References, comments and appendices added

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Cited by in corpus (8)

• Interactions of Particles with "Continuous Spin" Fields
• Cubic interactions of arbitrary spin fields in 3d flat space
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Thermodynamics of Continuous Spin photons
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Continuous Spin Representation from Contraction of the Conformal Algebra
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$