POSSIBLE GENERALIZATION OF THE SUPERSTRING ACTION TO 11 DIMENSIONS - ART. NO. 046005

We suggest a D = 11 super Poincare invariant action for the superstrin g which has free dynamics in the physical variables sector. Instead of the standard approach based on the searching for an action with local kappa symmetry (or, equivalently, with corresponding first class cons traints), we propose a theory with fermionic constraints of second cla ss only. Then the kappa symmetry and the well known Gamma-matrix ident ities are not necessary for the construction. Thus, at the classical l evel, the superstring action of the type described can exist in any sp acetime dimensions and the known brane scan can be reexamined.