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The b Ghost of the Pure Spinor Formalism is Nilpotent

High Energy Physics - Theory 2011-04-28 v3

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.

Keywords

Cite

@article{arxiv.1008.1778,
  title  = {The b Ghost of the Pure Spinor Formalism is Nilpotent},
  author = {Osvaldo Chandia},
  journal= {arXiv preprint arXiv:1008.1778},
  year   = {2011}
}

Comments

12 pages, harvmac-b. Minor changes