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

Cited by in corpus (5)

• Light-cone continuous-spin field in AdS space
• Superfield continuous spin equations of motion
• Massive higher spin supermultiplets unfolded
• Towards Lagrangian construction for infinite half-integer spin field
• Massless infinite spin (super)particles and fields