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The b Ghost of the Pure Spinor Formalism is Nilpotent (1008.1778v3)
Published 10 Aug 2010 in hep-th
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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