Lorentz symmetry breaking and supersymmetry

TL;DR

This paper explores three methods to incorporate Lorentz symmetry breaking into superfield theories, analyzing their implications through quantum calculations and demonstrating the potential for new physics beyond standard models.

Contribution

It introduces three distinct approaches to implement Lorentz symmetry breaking within superfield formalism, expanding the theoretical framework for supersymmetric models.

Findings

Demonstrated deformation of supersymmetry algebra with LV vectors.

Showed how additional superfields depending on LV tensors modify the theory.

Performed quantum calculations illustrating the effects of LV terms.

Abstract

We discuss three manners to implement Lorentz symmetry breaking in a superfield theory formulated within the superfield formalism, that is, deformation of the supersymmetry algebra, introducing of an extra superfield whose components can depend on Lorentz-violating (LV) vectors (tensors), and adding of new terms proportional to LV vectors (tensors) to the superfield action. We illustrate these methodologies with examples of quantum calculations.