BRST COHOMOLOGY AND SPACE-TIME SUPERSYMMETRY

In this talk we will describe the Osp(10/4) covariant computations of the conformal anomaly of the quantized superstring. The anomaly will be shown to be a function of the graded dimension and quadratic index of a spinor representation.

We will discuss the problem of BRST cohomology of manifestly supersym-metric quantized particles and strings. We will show that the covariantly gauge-fixed action of the ten-dimensional Brink-Schwarz superparticle has a fermionic, nilpotent symmetry whose cohomology is given by the 8 + 8 supersymmetric Yang-Mills multiplet.