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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 \cite{Najafizadeh:2019mun}, we employ an auxiliary field to close the algebra of supersymmetry transformations off-shell. The 4D $\mathcal{N}=1$ massless continuous spin supermultiplet is then denoted by $(\mathrm{\Phi}, \mathrm{H} \,; \mathrm{\Psi})$, comprised of a dynamical and a non-dynamical complex scalar continuous spin gauge fields $\mathrm{\Phi}$ and $\mathrm{H}$, as well as a Dirac continuous spin gauge field $\mathrm{\Psi}$. In particular, we demonstrate that the continuous spin supermultiplet, in a limit, reproduces off-shell supersymmetry transformations of the scalar (chiral) supermultiplet $(\,{\scriptstyle 0}\,,\, {\scriptstyle 1/2}\,)$, all integer-spin supermultiplets $(\,s\,,\, s\, {\scriptstyle +\, 1/2}\,),\, s\geqslant1$, and all half-integer spin supermultiplets $(\, s\, {\scriptstyle -\, 1/2}\,,\, s \,\,),\, s\geqslant1$.

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