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Twistor description of world surfaces and the action integral of strings

  • Nuclear Physics
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Abstract

The Cartan-Penrose twistor representation for light-like vectors is generalized to the case of isotropic bivectors describing the world sheets of null-strings. A new twistor formulation of the action of a string is constructed as a sheet integral of a differential 2-form which is quadratic in the twistor variables. The geometric nature of the mechanism for generating string tension is discussed.

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Authors and Affiliations

  1. Kharkov State University, 310077, Kharkov, Ukraine

    O. E. Gusev

  2. Kharkov Physicotechnical Institute National Science Center, 310108, Kharkov, Ukraine

    A. A. Zheltukhin

Authors
  1. O. E. Gusev
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  2. A. A. Zheltukhin
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Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 64, No. 7, 449–455 (10 October 1996)

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Gusev, O.E., Zheltukhin, A.A. Twistor description of world surfaces and the action integral of strings. Jetp Lett. 64, 487–494 (1996). https://doi.org/10.1134/1.567223

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  • DOI: https://doi.org/10.1134/1.567223

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