GREEN-SCHWARZ SUPERSTRINGS IN SPINOR MOVING FRAME FORMALISM

Green-Schwarz superstring theory in D = 4 and D = 10 is formulated in an extended space including additional spinor coordinates of the Cartan moving frame. These spinor coordinates, realized in the form of the Lorentz harmonics, are used for constructing covariant irreducible generators of fermionic kappa-symmetry. Generalizations of the suggested superstring formulations for the cases of super-p-brane theories in the D-dimensional space-time including the D = 11 supermembrane are discussed.