The Super-Higgs Mechanism in Fluids

Abstract

Supersymmetry is spontaneously broken when the field theory stress-energy tensor has a non-zero vacuum expectation value. In local supersymmetric field theories the massless gravitino and goldstino combine via the super-Higgs mechanism to a massive gravitino. We study this mechanism in four-dimensional fluids, where the vacuum expectation value of the stress-energy tensor breaks spontaneously both supersymmetry and Lorentz symmetry. We consider both constant as well as space-time dependent ideal fluids. We derive a formula for the gravitino mass in terms of the fluid velocity, energy density and pressure. We discuss some of the phenomenological implications.

16 pages

References in corpus (3)

• Supersymmetric sound in fluids
• Supersymmetric hydrodynamics from the AdS/CFT correspondence
• Diffusion constant of supercharge density in N=4 SYM at finite chemical potential

Cited by in corpus (6)

• Cosmology with orthogonal nilpotent superfields
• The goldstone and goldstino of supersymmetric inflation
• Gravitino Problem in Minimal Supergravity Inflation
• Salvage of Too Slow Gravitinos
• Minimal Supergravity Inflation without Slow Gravitino
• The Slow Gravitino