New Unfolded Higher Spin Systems in $Ad{S}_3$

Abstract

We investigate the unfolded formulation of bosonic Lorentz tensor fields of arbitrary spin in $Ad{S}_3$ containing a parity breaking mass parameter. They include deformations of the linearisations of the Prokushkin--Vasiliev higher spin theory around its critical points. They also provide unfolded formulations of linearized topologically massive higher spin fields including their critical versions. The gauge invariant degrees of freedom are captured by infinite towers of zero forms. We also introduce two inequivalent sets of gauge potentials given by trace constrained Fronsdal fields and trace unconstrained metric-like fields.

29 pages, discussion of fractional spins revised, clarifying remarks added and typos corrected in v2. Reference added in v3

References in corpus (6)

• Massive Gravity in Three Dimensions
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• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Flato-Fronsdal theorem for higher-order singletons
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Cited by in corpus (21)

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• Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Unfolded equations for massive higher spin supermultiplets in AdS_3
• Higher-spin gauge theories in three spacetime dimensions
• Massive higher spins in d=3 unfolded
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• Higher-spin Cotton tensors and massive gauge-invariant actions in AdS${}_3$
• Simple Unfolded Equations for Massive Higher Spins in AdS${}_3$
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Two-twistor particle models and free massive higher spin fields
• Massless spin 2 interacting with massive higher spins in d=3
• On tensionless string field theory in AdS${}_3$
• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• Infinite spin fields in d = 3 and beyond
• AdS${}_3$/AdS${}_2$ degression of massless particles
• On higher spin cubic interactions in d=3
• AdS (super)projectors in three dimensions and partial masslessness