Abstract
The BRST cohomologies of non-critical massive string models are analysed in detail in the range of dimensions 1<d<26. The classical theorems on vanishing of Dolbeaut type and relative cohomologies are proved. The no-ghost theorem is proved in the same range of dimensions. It is also shown that the BRST complex of the massive string model is a resolution of the non-critical Nambu-Goto string in all spacetime dimensions 1<d<25.
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