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 $(s-1/2,s),s⩾1$.

arXiv comment32 pages, 3 figures, 1 table; v2: two references added, accepted version in JHEP

References in corpus (54)

• Superparticle Models with Tensorial Central Charges
• Continuous Spin Representations of the Poincaré and Super-Poincaré Groups
• Elementary particles with continuous spin
• On the Theory of Continuous-Spin Particles: Wavefunctions and Soft-Factor Scattering Amplitudes
• Continuous spin gauge field in (A)dS space
• The continuous spin limit of higher spin field equations
• Infinite (continuous) spin fields in the frame-like formalism
• A gauge field theory of fermionic Continuous-Spin Particles
• Fermionic continuous spin gauge field in (A)dS space
• On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces
• Towards a Unified Theory of Massless Superfields of All Superspins
• BRST approach to Lagrangian construction for bosonic continuous spin field
• Continuous spin fields of mixed-symmetry type
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Massive N=1 supermultiplets with arbitrary superspins
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Continuous-spin field propagator and interaction with matter
• Modified Wigner equations and continuous spin gauge field
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Infinite spin particles
• Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• BRST-BV approach to continuous-spin field
• Light-cone continuous-spin field in AdS space
• Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4
• Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
• Continuous Spin Representations from Group Contraction
• Superfield continuous spin equations of motion
• BRST Theory for Continuous Spin
• A New Class of Particle in 2+1 Dimensions
• Cubic interaction vertices for massless higher spin supermultiplets in d=4
• Continuous-spin mixed-symmetry fields in AdS(5)
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Unified formulation for helicity and continuous spin fermionic fields
• Model of massless relativistic particle with continuous spin and its twistorial description
• Continuous spin particles from a string theory
• Supersymmetric Continuous Spin Gauge Theory
• Towards Lagrangian construction for infinite half-integer spin field
• Remarks on a Gauge Theory for Continuous Spin Particles
• Higher Spins in Hyper-Superspace
• Higher Spins in Hyperspace
• Cubic interactions of arbitrary spin fields in 3d flat space
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• Superspace formulation of massive half-integer superspin
• An infinite supermultiplet of massive higher-spin fields
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• The Kirillov picture for the Wigner particle
• Covariant quantization of infinite spin particle models, and higher order gauge theories
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Continuous Spin Representation from Contraction of the Conformal Algebra
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$

Cited by in corpus (5)

• Interactions of Particles with "Continuous Spin" Fields
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• 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