Vector Superfields and Lorentz Violation

TL;DR

This paper extends Lorentz-violating supersymmetry models to include vector superfields, exploring higher-dimensional generalizations and compactifications, with potential applications in AdS/CFT correspondence involving Lorentz violation.

Contribution

It introduces vector superfields into Lorentz-violating supersymmetry models and analyzes their higher-dimensional extensions and compactifications.

Findings

CPT-preserving models easily generalized to include vector superfields.

Obstructions encountered in CPT-violating model generalizations.

Higher-dimensional models compactified to four dimensions with Lorentz violation.

Abstract

We extend Lorentz-violating Supersymmetry models to include vector superfields. The CPT-preserving model generalizes easily, while the obvious attempt at generalizing the CPT-violating model meets serious obstructions. Generalizations of the CPT-preserving but Lorentz-Violating model to higher dimensions are also straightforward. Compactification is used to reduce the six-dimensional theory to an ${\cal{N}} =2$ Lorentz-violating theory in four dimensions, while the ten-dimensional theory is used to produce an ${\cal{N}}=4$ Lorentz-violating theory. This may be useful in future constructions involving Ads/CFT correspondence with Lorentz violation.