Continuous spin fields of mixed-symmetry type

Abstract

We propose a description of continuous spin massless fields of mixed-symmetry type in Minkowski space at the level of equations of motion. It is based on the appropriately modified version of the constrained system originally used to describe massless bosonic fields of mixed-symmetry type. The description is shown to produce generalized versions of triplet, metric-like, and light-cone formulations. In particular, for scalar continuous spin fields we reproduce the Bekaert-Mourad formulation and the Schuster-Toro formulation. Because a continuous spin system inevitably involves infinite number of fields, specification of the allowed class of field configurations becomes a part of its definition. We show that the naive choice leads to an empty system and propose a suitable class resulting in the correct degrees of freedom. We also demonstrate that the gauge symmetries present in the formulation are all Stueckelberg-like so that the continuous spin system is not a genuine gauge theory.

25 pages; v2: more comments, refs added, JHEP version

References in corpus (14)

• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Elementary particles with continuous spin
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• FV-type action for AdS(5) mixed-symmetry fields
• Infinite (continuous) spin fields in the frame-like formalism
• Continuous-spin field propagator and interaction with matter
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Generalised connections and higher-spin equations
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• From BRST to light-cone description of higher spin gauge fields
• Covariant quantization of infinite spin particle models, and higher order gauge theories

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• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
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• Light-front description of infinite spin fields in six-dimensional Minkowski space
• On equivalence of gauge-invariant models for massive integer-spin fields
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• Twistor formulation of massless $6D$ infinite spin fields