Spin projection operators and higher-spin Cotton tensors in three dimensions

Abstract

We elaborate on the spin projection operators in three dimensions and use them to derive a new representation for the linearised higher-spin Cotton tensors.

arXiv comment17 pages; V2: references and comments added; V3: typos corrected, reference added

References in corpus (12)

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• Massive 3D Supergravity
• On Higher Derivatives in 3D Gravity and Higher Spin Gauge Theories
• Conformal supergravity in three dimensions: New off-shell formulation
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• A spin-4 analog of 3D massive gravity
• On the Minimal Model of Anyons
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Cited by in corpus (11)

• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• New Conformal Higher Spin Gravities in $3d$
• Conformal geometry and (super)conformal higher-spin gauge theories
• Cubic interactions of arbitrary spin fields in 3d flat space
• Spin projection operators in (A)dS and partial masslessness
• AdS superprojectors
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• On higher spin analogues of linearized Topologically Massive Gravity and linearized "New Massive Gravity"
• Higher-spin Cotton tensors and massive gauge-invariant actions in AdS${}_3$
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• AdS (super)projectors in three dimensions and partial masslessness