Abstract
In this paper it is shown how an algebra of mixed first- and second-class constraints can be transformed into an algebra of the Gupta–Bleuler type, consisting of holomorphic and antiholomorphic constraints. Its quantization is performed by BRST methods. A second-level BRST operator Ω is constructed by introducing a new ghost sector (the second-level ghosts), in addition to the ghosts of the standard BRST operator. An inner product in this ghost sector is found such that the operator Ω is Hermitean. The physical states, as defined by the non-Hermitean holomorphic constraints, are shown to be given in terms of the cohomology of this Hermitean BRST charge.
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