brst cohomologies of mixed and second class constraints

The cohomological resolution of mixed constraints is constructed and shown to give Gupta−Bleuler space of physical states. The differential space and so-called anomalous BRST complex is constructed in detail. Special structures associated with anomaly are demonstrated and proved to be of important significance. Finally, the formalism is applied to a spinorial system with second class constraints. In this case, the Laplace operators are proved to define the (irreducibility) equations for fields carrying arbitrary (high) spin.