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Paper   IPM / Physic / 16846
School of Physics
  Title:   Off-shell supersymmetric continuous spin gauge theory
  Author(s):  M. Najafizadeh
  Status:   Published
  Journal: JHEP
  Vol.:  2022
  Year:  2022
  Pages:   38
  Supported by:  IPM
We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in four-dimensional Minkowski space-time, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [], we employ an auxiliary field to close the algebra of supersymmetry transformations off-shell. The 4D N=1 massless continuous spin supermultiplet is then denoted by (Φ, H  ; Ψ), comprised of a dynamical and a non-dynamical complex scalar continuous spin gauge fields Φ and H, as well as a Dirac continuous spin gauge field Ψ. In particular, we demonstrate that the continuous spin supermultiplet, in a limit, reproduces off-shell supersymmetry transformations of the scalar (chiral) supermultiplet (  0 ,  1/2 ), all integer-spin supermultiplets ( s , s  + 1/2 ), s\geqslant1, and all half-integer spin supermultiplets ( s  − 1/2 , s   ), s\geqslant1.

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