The b Ghost of the Pure Spinor Formalism is Nilpotent

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.

arXiv comment12 pages, harvmac-b. Minor changes

References in corpus (8)

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• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
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• Cohomology in the Pure Spinor Formalism for the Superstring
• Massive Superstring Vertex Operator in D=10 Superspace
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• Dynamical twisting and the b ghost in the pure spinor formalism
• Notes on the ambitwistor pure spinor string
• Nilpotency of the b ghost in the non-minimal pure spinor formalism
• A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5
• Notes on the pure spinor b ghost
• Pure Spinor b-ghost in a Super-Maxwell Background
• The Non-minimal Heterotic Pure Spinor String in a Curved Background
• On the field-antifield (a)symmetry of the pure spinor superstring
• Pure spinor formulation of the superstring and its applications
• General fluctuations of the type II pure spinor string on curved backgrounds
• Analytical solutions of pure-spinor superstring field theory