Off-shell supersymmetric continuous spin gauge theory
Mojtaba Najafizadeh
Abstract
A bstract We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1], we employ an auxiliary field to close the algebra of supersymmetry transformations off-shell. The 4d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 off-shell continuous spin supermultiplet, in a limit, reproduces off-shell supersymmetry transformations of the known scalar supermultiplet (0 , 1 / 2), all integer-spin supermultiplets ( s, s + 1 / 2) , s ≥ 1, and all half-integer spin supermultiplets ( s − 1 / 2 , s ) , s ≥ 1.