BRST Cohomologies of Mixed and Second Class Constraints

Abstract

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.

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

“…There is an attempt to construct BRST complex that gives Gupta-Bleuler space of physical states using Cohomological reductions [143]. Ghosts can be regarded as supersymmetric partners of fermions that were required to keep 4D space inside the Gupta-Bleuler space.…”