Twistorial and space-time descriptions of massless infinite spin (super)particles and fields

Abstract

We develop a new twistorial field formulation of a massless infinite spin particle. Unlike our previous approach arXiv:1805.09706, the quantization of such a world-line infinite spin particle model is carried without any gauge fixing. As a result, we construct a twistorial infinite spin field and derive its helicity decomposition. Using the field twistor transform, we construct the space-time infinite (continuous) spin field, which depends on the coordinate four-vector and additional commuting Weyl spinor. The equations of motion for infinite spin fields in the cases of integer and half-integer helicities are derived. We show that the infinite integer-spin field and infinite half-integer-spin field form the $\mathcal{N}=1$ infinite spin supermultiplet. The corresponding supersymmetry transformations are formulated and their on-shell algebra is derived. As a result, we find the field realization of the infinite spin $\mathcal{N}=1$ supersymmetry.

1 + 24 pages; v3: minor corrections in the published version

References in corpus (5)

• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Elementary particles with continuous spin
• Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization
• A CSP Field Theory with Helicity Correspondence
• Bitwistor formulation of massive spinning particle

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• Superfield continuous spin equations of motion
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• Off-shell Supersymmetric Continuous Spin Gauge Theory
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Massless finite and infinite spin representations of Poincaré group in six dimensions
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Continuous Spin Representation from Contraction of the Conformal Algebra
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• Massless infinite spin (super)particles and fields
• Twistor formulation of massless $6D$ infinite spin fields