Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space

Abstract

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the formalism of gauge-invariant curvatures for the massive theory under consideration and show how the Lagrangian is formulated in their terms. The massive spin-5/2 field is discussed as an example.

arXiv comment11 pages, no figures

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• Unfolded equations for massive higher spin supermultiplets in AdS_3
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• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Towards the Fradkin-Vasiliev formalism in three dimensions
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
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• Massless spin 2 interacting with massive higher spins in d=3
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• Infinite spin fields in d = 3 and beyond
• Supersymmetric higher spin models in three dimensional spaces
• Higher-spin gauge models with (1,1) supersymmetry in AdS${}_3$: Reduction to (1,0) superspace
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