The b ghost of the pure spinor formalism is nilpotent

Osvaldo Chandia

doi:10.1016/j.physletb.2010.10.058

The b ghost of the pure spinor formalism is nilpotent

Osvaldo Chandia

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	312-316
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	695
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physletb.2010.10.058
State	Published - 10 Jan 2011
Externally published	Yes

Keywords

B ghost
Ghost
Nilpotent
Spinor formalism

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10.1016/j.physletb.2010.10.058

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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.",

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note = "Funding Information: I would like to thank Yuri Aisaka, Nathan Berkovits, William Linch, Brenno Vallilo for useful comments and suggestions. This research was partially financed by FONDECYT project 1061050 .",

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Y1 - 2011/1/10

N2 - 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.

AB - 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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KW - Nilpotent

KW - Spinor formalism

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The b ghost of the pure spinor formalism is nilpotent

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Keywords

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