The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings

Details The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings

2002-06-12

arxiv.org/abs/hep-th/0206104v2

Nucl.Phys.B639:182-202,2002

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 24 pages, references and comments added, typos corrected, version to appear in NPB

Scientific paper

10.1016/S0550-3213(02)00562-X

We show that the pure spinor formalism proposed by Berkovits to covariantly quantize superstrings is a gauge fixed, twisted version of the complexified n=2 superembedding formulation of the superstring. This provides the Berkovits approach with a geometrical superdiffeomorphism invariant ground. As a consequence, the absence of the worldsheet (super)diffeomorphism ghosts in the pure spinor quantization prescription and the nature of the Berkovits BRST charge and antighost are clarified. Since superembedding is classically equivalent to the Green-Schwarz formulation, we thus also relate the latter to the pure spinor construction.

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