Abstract
We present the Y-formalism in the pure spinor quantization of superstring theory in detail. Even if the ω– λ OPE is not completely free owing to the presence of the projector reflecting the pure spinor constraint, it is shown that one can construct at the quantum level a conformal field theory in full agreement with the Berkovits' pure spinor formalism. The OPEs of the two formalisms are the same if we define the relevant operators involving ω in a suitable manner. Moreover, the Y-formalism at hand is utilized to find the full expression of the covariant, picture-raised b antighost b B , with a reasonable amount of effort.
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