Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings

Details Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings

2007-04-10

arxiv.org/abs/0704.1219v1

Nucl.Phys.B779:63-100,2007

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, no figures

Scientific paper

10.1016/j.nuclphysb.2007.04.032

We present the Y-formalism for the non-minimal pure spinor quantization of superstrings. In the framework of this formalism we compute, at the quantum level, the explicit form of the compound operators involved in the construction of the $b$ ghost, their normal-ordering contributions and the relevant relations among them. We use these results to construct the quantum-mechanical $b$ ghost in the non-minimal pure spinor formalism. Moreover we show that this non-minimal $b$ ghost is cohomologically equivalent to the non-covariant $b$ ghost.

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