General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.
Model of massless relativistic particle with continuous spin and its twistorial description
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose a new world-line Lagrangian model of the D=4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After the first quantization of the world-line twistorial model, the wave function is defined by an unconstrained function on the two-dimensional complex affine plane. We find the twistor transform that determines the space-time field of the continuous spin particle through the corresponding twistor one, which plays the role of a prepotential. It is shown that this space-time field is an exact solution of the space-time constraints defining the irreducible massless representation of the Poincare group with continuous spin.
fields
hep-th 4years
2026 4representative citing papers
A new single two-component spinor formulation for continuous-spin particles allows straightforward amplitudes, shows infinite-spin limit of massive amplitudes with exponentiation, and yields nontrivial collinear amplitudes constrained by a dimensionful CSP parameter.
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Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.
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Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
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De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.