Off-shell Supersymmetric Continuous Spin Gauge Theory

Abstract

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 $\mathcal{N}=1$ 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 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 $(s-1/2,s),s⩾1$.

32 pages, 3 figures, 1 table; v2: two references added, accepted version in JHEP

References in corpus (14)

• Elementary particles with continuous spin
• Massive N=1 supermultiplets with arbitrary superspins
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Light-cone continuous-spin field in AdS space
• Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
• Superfield continuous spin equations of motion
• Cubic interaction vertices for massless higher spin supermultiplets in d=4
• A New Class of Particle in 2+1 Dimensions
• Towards Lagrangian construction for infinite half-integer spin field
• Higher Spins in Hyper-Superspace
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• Superspace formulation of massive half-integer superspin
• Covariant quantization of infinite spin particle models, and higher order gauge theories
• Continuous Spin Representation from Contraction of the Conformal Algebra

Cited by in corpus (1)

• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory