Model of massless relativistic particle with continuous spin and its twistorial description

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.

arXiv comment1 + 19 pages, v3: minor corrections in the published version

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• Supersymmetric Continuous Spin Gauge Theory
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Generalization of the Bargmann-Wigner construction for infinite spin fields