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

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The covariant quantization of massless D=11 superparticle (M0-brane) in its twistor-like Lorentz harmonic formulation is used to clarify the origin and some properties of the Berkovits pure spinor approach to quantum superstring and to search for hidden symmetries of D=11 supergravity. In the twistor like Lorentz harmonic formulation, the SO(16) symmetry is seen already at the classical level. The quantization produces the linearized supergravity multiplet as 128+128=256 component Majorana spinor of SO(16) and also shows an indirect argument in favor of the possible E8 symmetry.
10 pages, no figures, talk given at SQS07, Supersymmetry and Quantum Symmetries, JINR, Dubna, July 30-August 4, 2007. V2: reference on 1985 preprint by M.J. Duff [28] and notice on it added

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