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

Abstract

We develop a complete off-shell Lagrangian description of the free $4D,\mathcal{N}=1$ supersymmetric theory of infinite spin. Bosonic and fermionic fields are formulated in terms of spin-tensor fields with dotted and undotted indices. The corresponding Lagrangians for bosonic and fermionic infinite spin fields entering into the on-shell supersymmetric model are derived within the BRST method. Lagrangian for this supersymmetric model is written in terms of the complex infinite spin bosonic field and infinite spin fermionic Weyl field subject to supersymmetry transformations. The fields involved into the on-shell supersymmetric Lagrangian can be considered as components of six infinite spin chiral and antichiral multiplets. These multiplets are extended to the corresponding infinite spin chiral and antichiral superfields so that two chiral and antichiral superfields contain among the components the basic fields of an infinite spin supermultiplet and extra four chiral and antichiral superfields containing only the auxiliary fields needed for the Lagrangian formulation. The superfield Lagrangian is constructed in terms of these six chiral and antichiral supefields, and we show that the component form of this superfield Lagrangian exactly coincides with the previously found component supersymmetric Lagrangian after eliminating the component fields added to construct (anti)chiral superfields.

v2: minor corrections

References in corpus (9)

• 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
• Massive higher spin supermultiplets unfolded
• Towards Lagrangian construction for infinite half-integer spin field
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Massless finite and infinite spin representations of Poincaré group in six dimensions
• Twistor formulation of massless $6D$ infinite spin fields

Cited by in corpus (4)

• Interactions of Particles with "Continuous Spin" Fields
• Thermodynamics of Continuous Spin photons
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Generalization of the Bargmann-Wigner construction for infinite spin fields