The b ghost of the pure spinor formalism is nilpotent

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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.

Original languageEnglish
Pages (from-to)312-316
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-4
StatePublished - 10 Jan 2011
Externally publishedYes


  • B ghost
  • Ghost
  • Nilpotent
  • Spinor formalism


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