Critical dimensions of the N=1 and N=2 spinning string derived from Fujikawa's approach

Abstract
The authors extend Fujikawa's derivation of the critical dimension of the bosonic string to the N=1 and N=2 spinning string. They show that the measure which preserves BRST general coordinate invariance also preserves ordinary supersymmetry, not only in d=2 but also in d=3 and d=4 dimensions.