QUANTIZATION OF A 6-DIMENSIONAL WESS-ZUMINO MODEL

We examine a six-dimensional Wess-Zumino model. The equations of motio n are of the fourth order, implying two modes of propagation; a normal bradyonic mode and a tachyonic mode. The conserved fermion current is constructed. The component fields are quantized in such a way that th e operator representing the supercharge is the generator of supersymme try transformations. The quantization is complemented by the definitio n of the vacuum for both modes. The evaluation of vacuum expectation v alues leads to a Feynman propagator for the normal mode and a half-adv anced and half-retarded propagator for the tachyon mode. Convolutions between these propagators show consistency with unitarity.