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The covariant quantization of massless D=11 superparticle (M0-brane) in itstwistor-like Lorentz harmonic formulation is used to clarify the origin andsome properties of the Berkovits pure spinor approach to quantum superstringand to search for hidden symmetries of D=11 supergravity. In the twistor likeLorentz harmonic formulation, the SO(16) symmetry is seen already at theclassical level. The quantization produces the linearized supergravitymultiplet as 128+128=256 component Majorana spinor of SO(16) and also shows anindirect argument in favor of the possible E8 symmetry.

On covariant quantization of M0-brane. Spinor moving frame, pure spinor formalism and hidden symmetries of D=11 supergravity