Notes on the D=11 pure spinor superparticle

Berkovits, N
Casali, E
Guillen, M
Mason, L

30 August 2019

Journal:

JOURNAL OF HIGH ENERGY PHYSICS

Last Updated:

2020-01-23T11:54:31.457+00:00

8

DOI:

10.1007/JHEP08(2019)178

abstract:

The $D=11$ pure spinor superparticle has been shown to describe linearized
$D=11$ supergravity in a manifestly covariant way. A number of authors have
proposed that its correlation functions be used to compute amplitudes. The use
of the scalar structure of the eleven-dimensional pure spinor top cohomology
introduces a natural measure for computing such correlation functions. This
prescription requires the construction of ghost number one and zero vertex
operators. In these notes, we construct explicitly a ghost number one vertex
operator but show the incompatibiliy of a ghost number zero vertex operator
satisfying a standard descent equation for $D=11$ supergravity.

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