Superspace formulation of massive half-integer superspin

Abstract

An explicit form for the lagrangian of an arbitrary half-integer superspin $\text{Y}=s+1/2$ supermultiplet is obtained in $4\mathrm{D},\mathcal{N}=1$ superspace. This is accomplished by the introduction of a tower of pairs of auxiliary superfields of increasing rank which are required to vanish on-shell for free theories. In the massless limit almost all auxiliary superfields decouple except one, which plays the role of compensator as required by the emergent gauge redundancy of the Lagrangian description of the massless theory. The number of off-shell degrees of freedom carried by the theory is $\frac{8}{3}(s+1)(4s^2+11s+3)$.

References in corpus (20)

• New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
• Massive N=1 supermultiplets with arbitrary superspins
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Dynamical Superfield Theory of Free Massive Superspin-1 Multiplet
• Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents
• Non-conformal higher spin supercurrents
• Higher spin supercurrents in anti-de Sitter space
• Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
• Massive higher spin fields in the frame-like multispinor formalism
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Superfield continuous spin equations of motion
• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• Cubic interaction vertices for massless higher spin supermultiplets in d=4
• Massive higher spin supermultiplets unfolded
• Integer superspin supercurrents of matter supermultiplets
• New massive supergravity multiplets
• From Diophantus to Supergravity and massless higher spin multiplets
• Hierarchy of Supersymmetric Higher Spin Connections

Cited by in corpus (12)

• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• On equivalence of gauge-invariant models for massive integer-spin fields
• On massive higher spin supermultiplets in d=4
• All actions for free massive higher-spin fields
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets