Abstract
We study the BRST cohomology for two-dimensional supergravity coupled to c ̂ ⩽ 1 superconformal matter in the conformal gauge. The super-Liouville and superconformal matters are represented by free scalar fields ø L and ø M and fermions ψ L and ψ M, respectively, with suitable background charges, and these are coupled in such a way that the BRST charge is nilpotent. The physical states of the full theory are determined for the NS and R sectors. It is shown that there are extra states with ghost number N FP = 0, ± 1 for discrete momenta other than the degree of freedom corresponding to the “center of mass”, and that these are closely related to the “null states” in the minimal models with c ̂ < 1 .
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