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.
BRST approach to Lagrangian construction for bosonic continuous spin field
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We formulate the conditions defining the irreducible continuous spin representation of the four-dimensional Poincar\'e group based on spin-tensor fields with dotted and undotted indices. Such a formulation simplifies analysis of the Bargmann-Wigner equations and reduces the number of equations from four to three. Using this formulation we develop the BRST approach and derive the covariant Lagrangian for the continuous spin fields.
fields
hep-th 5representative citing papers
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.
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.
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.
Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.
citing papers explorer
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BRST-BV approach to fields in Poincare patch of AdS
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.
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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.
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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.