A gauge field theory of fermionic Continuous-Spin Particles

Abstract

In this letter, we suggest a local covariant action for a gauge field theory of fermionic Continuous-Spin Particles (CSPs). The action is invariant under gauge transformations without any constraint on both the gauge field and the gauge transformation parameter. The Fang-Fronsdal equations for a tower of massless fields with all half-integer spins arise as a particular limit of the equation of motion of fermionic CSPs.

arXiv comment8 pages, no figure. Due to the constructive contribution of X. Bekaert in this letter, his name is added as a new author. This version of the paper accepted for publication in PLB(2016)

References in corpus (6)

• Introduction to the Classical Theory of Higher Spins
• Minimal Local Lagrangians for Higher-Spin Geometry
• Continuous Spin Representations of the Poincaré and Super-Poincaré Groups
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Continuous Spin Representations from Group Contraction
• A New Class of Particle in 2+1 Dimensions

Cited by in corpus (33)

• Elementary particles with continuous spin
• Continuous spin gauge field in (A)dS space
• Infinite (continuous) spin fields in the frame-like formalism
• Fermionic continuous spin gauge field in (A)dS space
• BRST approach to Lagrangian construction for bosonic continuous spin field
• Continuous spin fields of mixed-symmetry type
• Continuous-spin field propagator and interaction with matter
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Modified Wigner equations and continuous spin gauge field
• Light-cone continuous-spin field in AdS space
• BRST-BV approach to continuous-spin field
• 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
• Superfield continuous spin equations of motion
• Continuous-spin mixed-symmetry fields in AdS(5)
• Unified formulation for helicity and continuous spin fermionic fields
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Interactions of Particles with "Continuous Spin" Fields
• Remarks on a Gauge Theory for Continuous Spin Particles
• Towards Lagrangian construction for infinite half-integer spin field
• Supersymmetric Continuous Spin Gauge Theory
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Thermodynamics of Continuous Spin photons
• The Kirillov picture for the Wigner particle
• Continuous Spin Representation from Contraction of the Conformal Algebra
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• Massless infinite spin (super)particles and fields
• Infinite spin fields in d = 3 and beyond