ar X iv : h ep - t h / 01 12 20 6 v 1 2 1 D ec 2 00 1 Hamiltonian of Tensionless Strings with Tensor Central Charge Coordinates

A new class of twistor-like string models in four-dimensional space-time extended by the addition of six tensorial central charge (TCC) coordinates z mn is studied. The Hamiltonian of tensionless string in the extended space-time is derived and its symmetries are investigated. We establish that the string constraints reduce the number of independent TCC coordinates z mn to one real effective coordinate which composes an effective 5-dimensional target space together with the x m coordinates. We construct the P.B. algebra of the first class constraints and discover that it coincides with the P.B. algebra of tensionless strings. The Lorentz covariant antisymmetric DiracˆC-matrix of the P.B. of the second class constraints is constructed and its algebraic structure is further presented.