Simplified D = 11 pure spinor b ghost

Abstract

Abstract A b-ghost was constructed for the D = 11 non-minimal pure spinor superparticle by requiring that {Q, b} = T where Q = Λ α D α + R α W ¯ α $$ Q={\Lambda}^{\alpha }{D}_{\alpha }+{R}^{\alpha }{\overline{W}}_{\alpha } $$ 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 Σ ¯ i $$ {\overline{\Sigma}}^i $$ constructed out of the fermionic spinor D α and pure spinor variables. This simplified version will be shown to satisfy {Q, b} = T and {b, b} = BRST - trivial.

Keywords

• BRST Quantization
• M-Theory
• Supergravity Models