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arXiv · 2212.13653

Taming the 11D pure spinor b-ghost

Max Guillen
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Abstract

We provide an alternative compact expression for the 11D pure spinor b-ghost by introducing a new set of negative ghost number operators made out of non-minimal pure spinor variables. Using the algebraic properties satisfied by these operators, it will be straightforwardly shown that $\{Q, b\}={P^2\over 2}$, as well as $\{b,b\} = Q\Omega$. As an application of this novel formulation, the ghost number two vertex operator will easily be obtained in a completely covariant manner from a standard descent relation, the ghost number three vertex operator will be shown to satisfy the generalized Siegel gauge condition, and the 11D supergravity two-particle superfield will be constructed in a quite simple way.

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Max Guillen. 2022-12-28. Taming the 11D pure spinor b-ghost. https://doi.org/10.1007/jhep03(2023)135

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