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= Λ αDα+ RαW¯ α 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 constructed out of the fermionic spinor Dα and pure spinor variables. This simplified version will be shown to satisfy (Q, b) = T and (b, b) = BRST - trivial.