Abstract
The classical equivalence between the Lagrangians of massless spinning and supersymmetrical particles presented in terms of u A and Grassmannian θ A Weyl spinor variables is established. It is shown that the condition of the inverse Higgs effect for a spinor invariant superform leads to the extension of the Penrose representation and the realization of fermionic string variables in terms of superstring variables. New superfield formulations of the actions for particles and strings invariant under local (world-sheet) and global (spacetime) supersymmetrics are suggested.
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References
Green, M. B. and Schwarz, J. H., Phys. Lett. B136, 367 (1984).
Ramond, P. M., Phys. Rev. D3, 2415 (1971); Neveu, A. and Schwarz, J. H., Nucl. Phys. B31, 86 (1971).
Gliozzi, F., Scherk, J. and Olive, D., Nucl. Phys. B122, 253 (1977).
Brink, L., Deser, S., Zumino, B., Di Vechia, P., and Howe, P., Phys. Lett. B64, 135 (1976).
Brink, L. and Schwarz, J. H., Phys. Lett. B100, 310 (1981).
Volkov, D. V. and Pashnev, A. I., Teor. Mat. Fiz. 44, 321 (1980) (in Russian).
Siegel, W., Phys. Lett. B128, 327 (1983).
Volkov, D. V. and Zheltukhin, A. A., Ukrain. Fiz. Zh. 30, 672 (1985) (in Russian).
Zheltukhin, A. A., Yadernaya Fiz. 42, 720 (1985); 46, 1791 (1987) (in Russian).
Ferber, A., Nucl. Phys. B132, 55 (1978).
Witten, E., Nucl. Phys. B266, 245 (1986).
Bengtson, I. and Cederwall, M., Paris preprint LPTENS-87120 (1987).
Kowalski-Glikman et al., Phys. Lett. B201, 1288 (1988).
Volkov, D. V., Sorokin, D. P., and Tkach, V. I., Kharkov preprint KhFTI 88-31 (1988).
Penrose, R. and MacCallum, M., Phys. Rep. C6, 241 (1972).
Ivanov, E. A. and Ogievetsky, V. I., Teor. Mat. Fiz. 25, 164 (1975) (in Russian).
Green, M. B., Schwarz, J. H., and Witten, E., Superstring Theory, Cambridge (1987).
Frolov, S. A. and Slavnov, A. A., preprint NBI-HE-88-08.
Gursey, F., Preprint YTP-87-26-Yell. (1987); YTP-87-25-Yell. (1987).
Kavalov, An. and Mkrtchyan, R. L., Yerevan preprint YERPHI-1086(31)-88.
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Volkov, D.V., Zheltukhin, A.A. On the equivalence of the Lagrangians of massless dirac and supersymmetrical particles. Lett Math Phys 17, 141–147 (1989). https://doi.org/10.1007/BF00402328
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DOI: https://doi.org/10.1007/BF00402328