Y-formalism in Pure Spinor Quantization of Superstrings

Abstract

We present the Y-formalism in the pure spinor quantization of superstring theory in detail. Even if the $\omega -\lambda$ 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 OPE's of the two formalisms are the same if we define the relevant operators involving $\omega$ 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.

23 pages, no figures

References in corpus (4)

• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Covariant One-Loop Amplitudes in D=11
• Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
• On the b-antighost in the Pure Spinor Quantization of Superstrings

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