Lorentz breaking supersymmetry and Horava-Lifshitz-like models

TL;DR

This paper develops a Lorentz-breaking supersymmetric algebra with a critical exponent, modifies supercharges accordingly, and demonstrates improved renormalizability and low-energy flow to Lorentz symmetry in scalar QED.

Contribution

It introduces a novel Lorentz-breaking supersymmetric algebra with a critical exponent and analyzes its implications for renormalizability and effective potentials.

Findings

Enhanced renormalizability of supersymmetric scalar QED

Explicit calculation of K"ahlerian effective potentials

Natural flow to Lorentz symmetry at low energies

Abstract

We present a Lorentz-breaking supersymmetric algebra characterized by a critical exponent $z$. Such construction requires a non trivial modification of the supercharges and superderivatives. The improvement of renormalizability for supersymmetric scalar QED is shown and the K\"ahlerian effective potentials are calculated in different cases. We also show how the theory flows naturally to the Lorentz symmetric case at low energies.