Hamiltonian of Tensionless Strings with Tensor Central Charge Coordinates

TL;DR

This paper introduces a new twistor-like tensionless string model extended by tensorial central charge coordinates, analyzes its Hamiltonian and symmetries, and finds a reduction to an effective 5D target space with consistent constraint algebra.

Contribution

It develops a novel tensionless string model with tensor central charge coordinates and analyzes its Hamiltonian structure and symmetries, revealing a reduction to an effective 5D space.

Findings

The string constraints reduce the TCC coordinates to one effective coordinate.

The P.B. algebra of constraints matches that of tensionless strings.

A Lorentz covariant Dirac matrix for second class constraints is constructed.

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.