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11D pure spinors have been shown to successfully describe 11D supergravity ina manifestly super-Poincar\'e covariant manner. The feasibility of its actualusage for scattering amplitude computations requires an efficient manipulationof the superfields defining linearized 11D supergravity. In this paper, wedirectly address this problem by finding the superspace expansions of thesesuperfields, at all orders in $\theta$, from recursive relations theirequations of motion obey in Harnad-Shnider-like gauges. After introducing the11D analogue of the 10D ${\cal ABC}$ superparticle, we construct, for the firsttime, a fully covariant vertex operator for 11D supergravity by making use ofthe linearized 11D superfields. Notably, we show that this vertex reproducesthe Green-Gutperle-Kwon 11D operators in light-cone gauge.

Superspace Expansion of The 11D Linearized Superfields in The Pure Spinor Formalism, and The Covariant Vertex Operator