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Pure spinors, twistors, and emergent supersymmetry

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Author(s):
Berkovits, Nathan
Total Authors: 1
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 12, p. 10-pg., 2012-12-01.
Abstract

Starting with a classical action whose matter variables are a d=10 spacetime vector x(m) and a pure spinor lambda(alpha), the pure spinor formalism for the superstring is obtained by gauge-fixing the twistor-like constraint partial derivative x(m)(gamma(m)lambda)(alpha) = 0. The fermionic variables theta(alpha) are Faddeev-Popov ghosts coming from this gauge-fixing and replace the usual (b, c) ghosts coming from gauge-fixing the Virasoro constraint. After twisting the ghost-number such that theta(alpha) has ghost-number zero and lambda(alpha) has ghost-number one, the BRST cohomology contains the usual spacetime supersymmetric states of the superstring. (AU)

FAPESP's process: 09/50639-2 - Research and learning on the strings theory
Grantee:Nathan Jacob Berkovits
Support Opportunities: Research Projects - Thematic Grants