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Relation between cohomology and the BRST operator known as the BRST operator, and they explicitly state, To mathematicians it is the operator that computes the cohomology of the Lie algebra G G, with values in the representation defined by the Ki K i I am familiar with the interpretation of compact semi-simple Lie groups as manifolds, and can understand how they may have a cohomology
Constraints Generating Gauge Transformations and BRST The BRST transformations of (15) to (16) are required to ensure the action vanishes on and off the constraint surface I still find it jarring that BRST can encode residual gauge transformations yet not directly arise directly from the constraints ϕ^a ϕ ^ a in the total Hamiltonian HT = ua0ϕ^a H T = u 0 a ϕ ^ a Any comments on this fact?