Unified formulation for helicity and continuous spin fermionic fields

Abstract

We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in $d$-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or continuous spin fields. Starting with the unified formulation we derive a number of equivalent descriptions including the triplet formulation, Fang-Fronsdal-Labastida formulation, light-cone formulation and discuss the unfolded formulation.

arXiv commentv2: exposition of the triplet formulation is improved and the triplet Lagrangian for fermionic helicity fields is made precise, references and acknowledgements added; v4: corrected typos, reference and comments added

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Cited by in corpus (10)

• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Interactions of Particles with "Continuous Spin" Fields
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Supersymmetric Continuous Spin Gauge Theory
• Cubic interactions of arbitrary spin fields in 3d flat space
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• Thermodynamics of Continuous Spin photons
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