Massive Spin-2 Supermultiplets

Abstract

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries in the full nonlinear theories spontaneously broken so that only N = k global supersymmetries remain unbroken. In this paper we unhide these hidden supersymmetries by using gauge invariant formulation for massive high spin particles. Such formulation, operating with the right set of physical degrees of freedom from the very beginning and having non-singular massless limit, turns out to be very well suited for construction of massive supermultiplets from the well known massless ones. For all four cases considered we have managed to show that the massless limit of the supertransformations for N = k massive supermultiplet could be uplifted to N = 2k supersymmetry. This, in turn, allows one to investigate which extended supergravity models such massive multiplets could arise from. Our results show a clear connection of possible models with the five-dimensional extended supergravities.

23 pages, plain LaTeX, no figures

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Cited by in corpus (11)

• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Frame-like gauge invariant formulation for massive high spin particles
• Massive N=1 supermultiplets with arbitrary superspins
• N=2 supergravity and supercurrents
• Dynamical Superfield Theory of Free Massive Superspin-1 Multiplet
• Lagrangian formulation of the massive higher spin N=1 supermultiplets in $Ad{S}_4$ space
• Massive 4D, N = 1 Superspin 1 & 3/2 Multiplets and Dualities
• Constraints on a Gravitational Higgs Mechanism
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time