Off-trail SUSY

TL;DR

This paper explores the propagation of a spin-3/2 particle in a non-Lorentz invariant background and proposes Fake Split Supersymmetry Models to address issues in traditional Split SUSY, allowing higher supersymmetry breaking scales.

Contribution

It introduces a generalized goldstino Lagrangian in a fluid background and develops a modified Rarita-Schwinger theory, along with proposing Fake Split SUSY Models that expand the viable SUSY breaking scale.

Findings

Derived equations of motion for a slow gravitino in a fluid background.

Identified physical degrees of freedom for spin-3/2 in non-invariant backgrounds.

Proposed FSSM models that permit higher SUSY breaking scales without restrictions.

Abstract

We present two distinct topics: I) We describe the propagation of a spin-3/2 state in a background which preserves invariance under space translations and rotations but not under Lorentz boost transformations. We start by building a generalisation of the Volkov-Akulov Lagrangian for a goldstino in a fluid. A super-Higgs mechanism leads to the modified Rarita-Schwinger Lagrangian describing a slow gravitino. We identify the physical propagating degrees of freedom and derive the corresponding equations of motion. This includes some new results. II) Fake Split Supersymmetry Models are proposed to alleviate some of the problems of the original Split SUSY. In particular it is no more necessary to restrict to a Mini-Split scenario as higher values of the supersymmetry breaking scale (Mega-Split) are now allowed. The FSSM relies on swapping the higgsinos for new states in identical gauge group representations but different Yukawa couplings.