Bq. Xu et al., THE KN ALGEBRAS AND THE GEOMETRICAL QUANTIZATION OF HETEROTIC STRINGS, International journal of theoretical physics, 32(11), 1993, pp. 2161-2172
By means of the KN algebra, the Virasoro and Kac-Moody superalgebras a
re extended on a genus-g Riemann surface. These are realized in the fr
amework of heterotic superstring with the WZ term coupling the fiber b
undle. Then we construct the corresponding BRST operators, which provi
de the critical dimension.