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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Origin of the pure spinor and Green-Schwarz formalisms

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Berkovits, Nathan [1]
Total Authors: 1
[1] Univ Estadual Paulista, Inst Fis Teor, ICTP South Amer Inst Fundamental Res, BR-01140070 Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of High Energy Physics; n. 7 JUL 20 2015.
Web of Science Citations: 8

The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint a,x (m) (gamma (m) lambda) (alpha) = 0 where lambda (alpha) is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint a,x (m) a,x (m) = 0, and the Green-Schwarz fermionic spacetime spinor variables theta (alpha) arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor lambda (alpha) with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes , this action can be interpreted as a standard A parts per thousand = 5 topological action where one integrates over the choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring. (AU)

FAPESP's process: 09/50639-2 - Research and learning on the strings theory
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants
FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants