Lifting M-theory to two-time physics

M-theory has different global supersymmetry structures in its various dual incarnations, as characterized by the M-algebra in 11D, the type IIA, type- IIB, heterotic, type-I extended supersymmetries in 10D, and non-Abelian sup ersymmetries in the AdS(n) X S-m backgrounds. We show that all of these sup ersymmetries are unified within the supersymmetry OSp(1/64), thus hinting t hat the overall global spacetime symmetry of M-theory is OSp(1/64). We sugg est that the larger symmetries contained within OSp(1/64) which go beyond t he familiar symmetries, are non-linearly realized hidden symmetries of M-th eory. These can be made manifest by lifting 11D M-theory to the formalism o f two-time physics in 13D by adding gauge degrees of freedom. We illustrate this idea by constructing a toy M-model on the worldline in 13D with manif est OSp(1/64) global supersymmetry, and a number of new local symmetries th at remove ghosts. Some of the local symmetries are bosonic cousins of kappa supersymmetries. The model contains 0-superbrane and p-forms (for p = 3, 6 ) as degrees of freedom. The gauge symmetries can be fixed in various ways to come down to a one time physics model in 11D, 10D, AdS(n) X S-m, etc., s uch that the linearly realized part of OSp(1/64) is the global symmetry of the various dual sectors of M-theory. (C) 1999 Published by Elsevier Scienc e B.V. All rights reserved.