Y-formalism in Pure Spinor Quantization of Superstrings

Details Y-formalism in Pure Spinor Quantization of Superstrings Y-formalism in Pure Spinor Quantization of Superstrings

2005-05-31

arxiv.org/abs/hep-th/0505277v1

Nucl.Phys. B727 (2005) 176-195

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures

Scientific paper

10.1016/j.nuclphysb.2005.08.031

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.

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