High spin gauge fields and two-time physics - art. no. 045004

All possible interactions of a point particle with background electromagnet ic, gravitational and higher-spin fields are considered in the two-time phy sics worldline formalism in (d,2) dimensions. This system has a counterpart in a recent formulation of two-time physics in noncommutative field theory with local Sp(2) symmetry. In either the worldline or field theory formula tion, a general Sp(2) algebraic constraint governs the interactions, and de termines the equations that the background fields of any spin must obey. Th e constraints are solved in the classical worldline formalism ((h) over bar -->0 limit) as well as in the field theory formalism (all powers of (h) ove r bar). The solution in both cases coincide for a certain 2T to 1T holograp hic image which describes a relativistic particle interacting with backgrou nd fields of any spin in (d-1, 1) dimensions. Two disconnected branches of solutions exist, which seem to have a correspondence as massless states in string theory, one containing low spins in the zero Regge slope limit, and the other containing high spins in the infinite Regge slope limit.