Modified Wigner equations and continuous spin gauge field

Abstract

In this paper, we first propose the bosonic (fermionic) modified Wigner equations for continuous spin particle (CSP). Secondly, starting from the (Fang-)Fronsdal-like equation, we will reach to the modified action of bosonic (fermionic) continuous spin gauge field in flat spacetime, presented recently by Metsaev in A(dS) spacetime. We shall also explain how to obtain the proposed modified Wigner equations from the gauge-fixed equations of motion. Finally, we will consider the massive bosonic (fermionic) higher-spin action and, by taking the infinite spin limit, we will arrive at the modified bosonic (fermionic) CSP action.

29 pages, v2: Subsection 3.4 was added, minor changes in relations (3.23), (4.16) and related ones. v3: references added to match the accepted version in PRD

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• Elementary particles with continuous spin
• Shadows, currents and AdS fields
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• Continuous spin fields of mixed-symmetry type
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Cited by in corpus (26)

• Infinite (continuous) spin fields in the frame-like formalism
• BRST approach to Lagrangian construction for bosonic continuous spin field
• Continuous-spin field propagator and interaction with matter
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• 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
• Superfield continuous spin equations of motion
• Continuous-spin mixed-symmetry fields in AdS(5)
• Unified formulation for helicity and continuous spin fermionic fields
• Interactions of Particles with "Continuous Spin" Fields
• Towards Lagrangian construction for infinite half-integer spin field
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• 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
• The Kirillov picture for the Wigner particle
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• Massive to Massless by Applying a Nonlocal Field Redefinition
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• Twistor formulation of massless $6D$ infinite spin fields