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Hamiltonian of Tensionless Strings with Tensor Central Charge Coordinates

A. A. Zheltukhin·U. Lindström
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Abstract

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.

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A. A. Zheltukhin, U. Lindström. 2001-12-21. Hamiltonian of Tensionless Strings with Tensor Central Charge Coordinates. https://doi.org/10.1088/1126-6708%2F2002%2F01%2F034

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