The Slow Gravitino

Abstract

When the supersymmetry breaking sector is a fluid background, Lorentz invariance is broken spontaneously. The super-Higgs mechanism leads to a gravitino Lagrangian with Lorentz symmetry violating terms. We analyse the resulting field equations and constraints. We identify the physical spin 3/2 and spin 1/2 helicity states, derive their equations of motion and construct the propagator. The violation of Lorentz symmetry implies that the longitudinal mode has a non-relativistic dispersion relation, whose speed is lower than the speed of light. We briefly comment on possible implications to gravitino cosmology and phenomenology.

24 pages

References in corpus (13)

• High-Energy Tests of Lorentz Invariance
• Gravitino Production After Inflation
• Superconformal Symmetry, Supergravity and Cosmology
• Thermal and Non-Thermal Production of Gravitinos in the Early Universe
• Non-Thermal Production of Dangerous Relics in the Early Universe
• Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
• Effects of the Gravitino on the Inflationary Universe
• Massive Spin 3/2 Electrodynamics
• Supersymmetry, Finite Temperature and Gravitino Production in the Early Universe
• Finite-Temperature Supersymmetry: The Wess-Zumino Model
• Supersymmetric sound in fluids
• Quantization of the massive gravitino on FRW spacetimes
• The Super-Higgs Mechanism in Fluids

Cited by in corpus (10)

• Cosmology with orthogonal nilpotent superfields
• Catastrophic Production of Slow Gravitinos
• The goldstone and goldstino of supersymmetric inflation
• Gravitino Problem in Minimal Supergravity Inflation
• Slow and Safe Gravitinos
• Salvage of Too Slow Gravitinos
• Minimal Supergravity Inflation without Slow Gravitino
• Stochastic gravitational waves from spin-3/2 fields -- Hunting SUSY in the sky
• Causality constraints on nonlinear supersymmetry
• High frequency gravitational waves from spin-3/2 fields