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arXiv · 1008.1778

The b Ghost of the Pure Spinor Formalism is Nilpotent

Osvaldo Chandia
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Abstract

The ghost for world-sheet reparametrization invariance is not a fundamental field in the pure spinor formalism. It is written as a combination of pure spinor variables which have conformal dimension two and such that it commutes with the BRST operator to give the world-sheet stress tensor. We show that the ghost variable defined in this way is nilpotent since the OPE of b with itself does not have singularities.

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Osvaldo Chandia. 2010-09-28. The b Ghost of the Pure Spinor Formalism is Nilpotent. https://doi.org/10.1016/j.physletb.2010.10.058

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