Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space

Abstract

Massive arbitrary spin totally symmetric free fermionic fields propagating in d-dimensional (Anti)-de Sitter space-time are investigated. Gauge invariant action and the corresponding gauge transformations for such fields are proposed. The results are formulated in terms of various mass parameters used in the literature as well as the lowest eigenvalues of the energy operator. We apply our results to a study of partial masslessness of fermionic fields in (A)dS(d), and in the case of d=4 confirm the conjecture made in the earlier literature.

14 pages, LaTeX -2e. v3: misprint in equation (2.24) corrected, footnotes 1,2,8,10 and references added, notation for the cosmological constant and operator of gauge transformation changed

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• AdS superprojectors
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• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Frame- and Metric-like Higher-Spin Fermions
• Generalised superconformal higher-spin multiplets
• Long, partial-short, and special conformal fields
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
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• Consistent actions for massive particles interacting with electromagnetism and gravity
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• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time
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• Partially massless spin 5/2 and supersymmetry
• Infinite spin fields in d = 3 and beyond
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