Nilpotency of the b ghost in the non-minimal pure spinor formalism

Abstract

The b ghost in the non minimal pure spinor formalism is not a fundamental field. It is based on a complicated chain of operators and proving its nilpotency is nontrivial. Chandia proved this property in arXiv:1008.1778, but with an assumption on the non-minimal variables that is not valid in general. In this work, the b ghost is demonstrated to be nilpotent without this assumption.

27 pages; footnotes added; typos fixed; Published version

References in corpus (3)

• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• The b Ghost of the Pure Spinor Formalism is Nilpotent

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