A general BRST-BV Lagrangian for arbitrary-spin free fields in AdS is constructed by reducing the problem to solving algebraic defining equations for spin operators.
Najafizadeh,Supersymmetric continuous spin gauge theory, Journal of High Energy Physics, 2020(3), 1-36,arXiv:1912.12310
4 Pith papers cite this work. Polarity classification is still indexing.
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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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Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.
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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
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Light-cone vector superspace and continuous-spin field in AdS
Light-cone vector superspace yields simple spin operators for continuous-spin fields in AdS, enables classification of bosonic and fermionic cases in 4D, and produces all unitary irreps of the non-linear spin algebra.