Simplified D=11 Pure Spinor b Ghost

Abstract

A $b$-ghost was constructed for the $D=11$ non-minimal pure spinor superparticle by requiring that $\{Q,b\}=T$ where $Q={\Lambda }^{\alpha }{D}_{\alpha }+R^{\alpha }{\bar{W}}_{\alpha }$ is the usual non-minimal pure spinor BRST operator. As was done for the $D=10$ $b$-ghost, we will show that the $D=11$ $b$-ghost can be simplified by introducing an $SO(10,1)$ fermionic vector ${\bar{\Sigma }}^i$ constructed out of the fermionic spinor $D_{\alpha }$ and pure spinor variables. This simplified version will be shown to satisfy $\{Q,b\}=T$ and $\{b,b\}=$ BRST - trivial.

47 pages. Added references

References in corpus (5)

• ICTP Lectures on Covariant Quantization of the Superstring
• 5 loops in 24/5 dimensions
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring Background
• Pure spinor indications of ultraviolet finiteness in D=4 maximal supergravity

Cited by in corpus (2)

• Notes on the $D=11$ pure spinor superparticle
• Taming the 11D pure spinor b-ghost