Abstract
The BRST cohomologies of non-critical massive RNS theories are analysed in detail in the range of dimensions 1<d<10. It is shown that the spaces of physical states admit the relative BRST resolutions: the theorems on vanishing of bigraded-Dolbeaut type cohomologies and relative BRST cohomologies are proved. The no-ghost theorem for relative classes guarantees quantum mechanical consistency of these string models. The explicit correspondence between relative cohomology states and the physical states of `old covariant' formalism is established: a light-cone gauge slice is shown to be a local section of relative cohomologies. The problem of reconstruction of absolute BRST cohomologies out of those of the relative complex is also explicitly solved.
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