Possible generalization of the superstring action to eleven dimensions

We suggest a D = 11 super Poincaré invariant action for the superstring which has tree dynamics in the physical variables sector. Instead of the standard approach based on the searching for an action with local κ symmetry (or, equivalently, with corresponding first class constraints), we propose a theory with fermionic constraints of second class only. Then the κ symmetry and the well known Γ-matrix identities are not necessary for the construction. Thus, at the classical level, the superstring action of the type described can exist in any spacetime dimensions and the known brane scan can be reexamined.