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arXiv · 1905.03737

Notes on the $D=11$ pure spinor superparticle

Nathan Berkovits·Eduardo Casali·Max Guillen·Lionel Mason
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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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Nathan Berkovits, Eduardo Casali, Max Guillen, Lionel Mason. 2019-05-09. Notes on the $D=11$ pure spinor superparticle. https://doi.org/10.1007/jhep08(2019)178

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