On Four-Dimensional Gauge Theories from Type II Superstrings

We study the four-dimensional gauge theories which are associated with classical vacua of the type II superstring, i.e. which correspond to a superconformal field theory on the world sheet. Using the fact that gauge symmetry arises from a supersymmetric affine Kac-Moody algebra, and demanding unitarity of the underlying world-sheet field theory, we show that no such vacua can yield the particle spectrum of the standard model. Of the gauge theories which are permitted by unitarity, we find that many can be constructed explicitly as orbifolds which twist the leftand right-moving degrees of freedom of the string asymmetrically; among these are three N = 4 supersymmetric models which have previously been constructed in a quite different fashion and two N = 1 supersymmetric models with chiral gauge representations for the massless fermions.