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Geometric description of a relativistic string

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Abstract

Classical three-dimensional relativistic string theory is considered in terms of world sheet quadratic forms. Taking the second quadratic form, not only the first one, into account is essential. A system of nonlinear evolution equations describing the string dynamics at the surface of primary constraints in a conformally invariant manner is derived. The results are generalized to the four-dimensional case.

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References

  1. B. M. Barbashov and V. V. Nesterenko,Introduction to Relativistic String Theory [in Russian], Énergoatomizdat, Moscow (1987); English transl., World Scientific, Singapore (1990).

    Google Scholar 

  2. B. M. Barbashov, V. V. Nesterenko and A. M. Chervyakov,Theor. Math. Phys.,40, 572 (1979).

    Article  MathSciNet  Google Scholar 

  3. G. P. Pron'ko, A. V. Razumov and L. D. Solov'ev,Sov. J. Part. Nucl.,14, 229 (1983).

    MathSciNet  Google Scholar 

  4. S. P. Novikov,Sov. Math. Dokl.,24, 222 (1981).

    Google Scholar 

  5. E. Witten,Commun. Math. Phys.,92, 455 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  6. L. D. Faddeev and L. A. Takhtajan,The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl., Berlin, Springer (1987).

    MATH  Google Scholar 

  7. A. K. Pogrebkov and S. V. Talalov,Theor. Math. Phys.,70, 241 (1987).

    Article  MathSciNet  Google Scholar 

  8. E. D'Hoker and R. Jackiw,Phys. Rev. D.,26, 3517 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  9. G. P. Dzhordzhadze, A. K. Pogrebkov and M. K. Polivanov,Theor. Math. Phys.,40, 706 (1979).

    Article  MathSciNet  Google Scholar 

  10. S. V. Klimenko and I. N. Nikitin,Theor. Math. Phys.,114, 299 (1998).

    MathSciNet  Google Scholar 

  11. S. V. Talalov,Theor. Math. Phys.,71, 588 (1987).

    Article  MathSciNet  Google Scholar 

  12. S. V. Talalov,Theor. Math. Phys.,79, 369 (1989).

    Article  MathSciNet  Google Scholar 

  13. S. V. Talalov,Theor. Math. Phys.,93, 1433 (1992).

    Article  MathSciNet  Google Scholar 

  14. S. V. Talalov,J. Phys. A,32, 845 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  15. S. I. Muslih and Y. Güler,Nuovo Cimento B,113, 277 (1998).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Toliatti Branch, Kuibyshev State Teachers Training Institute, Toliatti, Samara Oblast, Russia

    S. V. Talalov

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  1. S. V. Talalov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 123, No. 1, pp. 38–43, April, 2000.

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Talalov, S.V. Geometric description of a relativistic string. Theor Math Phys 123, 446–450 (2000). https://doi.org/10.1007/BF02551050

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  • DOI: https://doi.org/10.1007/BF02551050

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