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 Dirac $\hat{ \mathbf C}$-matrix of the P.B. of the second class constraints is constructed and its algebraic structure is further presented.
Categories: hep-th