The b Ghost of the Pure Spinor Formalism is Nilpotent

Details The b Ghost of the Pure Spinor Formalism is Nilpotent The b Ghost of the Pure Spinor Formalism is Nilpotent

2010-08-10

arxiv.org/abs/1008.1778v3

Phys.Lett.B695:312-316,2011

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac-b. Minor changes

Scientific paper

10.1016/j.physletb.2010.10.058

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.

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