Superfield continuous spin equations of motion

Abstract

We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a complex linear superfield which includes both the single-valued (span integer helicities) and the double-valued (span half-integer helicities) representations thus making their connection under supersymmetry manifest. The set of proposed superspace constraints for both superfield generate the expected Wigner's conditions for both representations.

References in corpus (4)

• Elementary particles with continuous spin
• Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
• A CSP Field Theory with Helicity Correspondence
• Continuous spin and tensionless strings

Cited by in corpus (8)

• Light-cone continuous-spin field in AdS space
• Interactions of Particles with "Continuous Spin" Fields
• Towards Lagrangian construction for infinite half-integer spin field
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• Superspace formulation of massive half-integer superspin
• Hierarchy of Supersymmetric Higher Spin Connections
• Massless infinite spin (super)particles and fields