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.
Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
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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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Spinor-helicity formalism for continuous-spin particles
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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Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases
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.