Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions

Details Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions

2010-06-12

arxiv.org/abs/1006.2438v2

Prog.Theor.Phys.124:969-994,2010

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, no figures, minor corrections, a footnote added, published version

Scientific paper

10.1143/PTP.124.969

Spinor and twistor formulations of tensionless bosonic strings in 4-dimensional Minkowski space are constructed. We begin with a first-order action that is equivalent to the Nambu-Goto action in the tensionful case and that leads to a spinorial action in the tensionless case. From this spinorial action, we find an alternative spinorial action useful for constructing a simple twistor formulation of tensionless strings. The twistor formulation is steadily constructed in accordance with a fundamental concept of twistor theory. We investigate local internal symmetries inherent in the twistorial action for a tensionless string and carry out some classical analyses of the tensionless string expressed in a twistorial form.

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