Lifshitz-sector mediated SUSY breaking

Understand

We propose a novel mechanism of SUSY breaking by coupling a Lorentz-invariant supersymmetric matter sector to non-supersymmetric gravitational interactions with Lifshitz scaling.

• The improved UV properties of Lifshitz propagators moderate the otherwise uncontrollable ultraviolet divergences induced by gravitational loops.
• This ensures that both the amount of induced Lorentz violation and SUSY breaking in the matter sector are controlled by Lambda_HL^2/M_P^2, the ratio of the Horava-Lifshitz cross-over scale Lambda_HL to the Planck scale M_P.
• This ratio can be kept very small, providing a novel way of explicitly breaking supersymmetry without reintroducing fine-tuning.