Elementary particles with continuous spin

Abstract

Classical results and recent developments on the theoretical description of elementary particles with "continuous" spin are reviewed. At free level, these fields are described by unitary irreducible representations of the isometry group (either Poincaré or anti de Sitter group) with an infinite number of physical degrees of freedom per spacetime point. Their basic group-theoretical and field-theoretical descriptions are reviewed in some details. We mention a list of open issues which are crucial to address for assessing their physical status and potential relevance.

33 pages, 4 figures; typos fixed, refs added

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Cited by in corpus (33)

• 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
• Basic introduction to higher-spin theories
• 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)
• 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
• Interactions of Particles with "Continuous Spin" Fields
• Supersymmetric Continuous Spin Gauge Theory
• Towards Lagrangian construction for infinite half-integer spin field
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Thermodynamics of Continuous Spin photons
• Massive spin three-half field in a constant electromagnetic background
• The Kirillov picture for the Wigner particle
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Relativity 4-ever?
• Symmetric vs. chiral approaches to massive fields with spin
• Gauging the higher-spin-like symmetries by the Moyal product
• Continuous Spin Representation from Contraction of the Conformal Algebra
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-$3/2$
• Massless spin 2 interacting with massive higher spins in d=3
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• All actions for free massive higher-spin fields
• Twistor formulation of massless $6D$ infinite spin fields