On the b-antighost in the Pure Spinor Quantization of Superstrings

Details On the b-antighost in the Pure Spinor Quantization of Superstrings On the b-antighost in the Pure Spinor Quantization of Superstrings

2004-09-03

arxiv.org/abs/hep-th/0409052v2

Phys.Lett. B606 (2005) 218-222

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures, LaTeX2e

Scientific paper

10.1016/j.physletb.2004.11.077

Recently Berkovits has constructed a picture raised, compound field $b_B$ which is used to compute higher loop amplitudes in the pure spinor approach of superstrings. On the other hand, in the twisted and gauge fixed, superembedding approach with $n=2$ world-sheet (w.s.) supersymmetry that reproduces the pure spinor formulation, a field $b$ appears quite naturally as the current of one of the two twisted charges of the w.s. supersymmetry, the other being the BRST charge. In this paper we study the relation between $b$ and $b_B$. We shall show that $bZ$, where $Z$ is a picture raising operator, and $b_B$ belong to the same BRST cohomological class. This result is of importance since it implies that the cumbersome singularity which is present in $b$, is in fact harmless if $b$ is combined with $Z$.

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