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.

12 pages, harvmac-b. Minor changes

References in corpus (1)

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

Cited by in corpus (4)

• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Tree-level amplitudes from 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