Vector superfields and 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 N=2 Lorentz-violating theory in four dimensions, while the ten-dimensional theory is used to produce an N=4 Lorentz-violating theory. This may be useful in future constructions involving AdS/CFT correspondence with Lorentz violation.