• Corpus ID: 219573340

# Pure spinors and $D=11$ supergravity

@article{Guillen2020PureSA,
title={Pure spinors and \$D=11\$ supergravity},
author={Max Guillen},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
• Max Guillen
• Published 10 June 2020
• Physics
• arXiv: High Energy Physics - Theory
In this Thesis we study first- and second-quantized approaches describing $D=11$ supergravity using pure spinor variables. We introduce the so-called $D=11$ pure spinor superparticle through BRST cohomology arguments starting from the semi-light-cone gauge $D=11$ Brink-Schwarz-like superparticle. After performing a light-cone gauge analysis of the pure spinor BRST cohomology at ghost number three, we find the linearized equations of motion of $D=11$ supergravity in $D=9$ superspace. In addition…
1 Citations

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## References

SHOWING 1-10 OF 66 REFERENCES
Towards Covariant Quantization of the Supermembrane
By replacing ten-dimensional pure spinors with eleven-dimensional pure spinors, the formalism recently developed for covariantly quantizing the d = 10 superparticle and superstring is extended to the
Equivalence of the 11D pure spinor and Brink-Schwarz-like superparticle cohomologies
The $D=11$ pure spinor formulation of the superparticle allows a simple realization of covariant quantization, unlike the $D=11$ Brink-Schwarz-like superparticle. We explicitly show the equivalence
Origin of the pure spinor and Green-Schwarz formalisms
A bstractThe pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint ∂xm(γmλ)α = 0 where λα is a d=10
Notes on the D = 11 pure spinor superparticle
• Physics
Journal of High Energy Physics
• 2019
Abstract The D = 11 pure spinor superparticle has been shown to describe linearized D = 11supergravityinamanifestlycovariantway. Anumberofauthorshaveproposedthat its correlation functions be used
COVARIANT MATRIX MODEL OF SUPERPARTICLE IN THE PURE SPINOR FORMALISM
On the basis of the Berkovits pure spinor formalism of covariant quantization of supermembrane, we attempt to construct a M(atrix) theory which is covariant under SO(1, 10) Lorentz group. We first
5 loops in 24/5 dimensions
• Physics
• 2010
A first quantised approach to loop amplitudes based on the pure spinor particle is applied to the systematics of four-particle amplitudes in maximally supersymmetric field theories. Counting of
From supergeometry to pure spinors
In this talk, we review how the superspace formulation of maximally supersymmetric field theories (including supergravity) naturally leads to introduction of pure spinors and pure spinor
Pure spinor formalism as an N=2 topological string
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N = 2 generators are then constructed where the