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Supersymmetric Yang-Mills equations as an inverse scattering problem

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Abstract

The equations of motion (for N=3, 4) and the constraint equations (N=1, 2) for supersymmetric Yang-Mills theories are shown to be the compatibility conditions of some system of linear equations with a parameter.

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References

  1. BrinkL., SchwarzJ., and ScherkJ., Nucl. Phys. B121, 77 (1977); Gliozzi, F., Scherk, J., and Olive, D., Nucl. Phys. B122, 253 (1977).

    Article  Google Scholar 

  2. Howe, P.S., Stelle, K.S., and Townsend, P.K., CERN preprint TH 3271 (1982); Stelle, K.S., Talk at the Seminar ‘Group Theory Methods in Physics’, Zvenigorod, U.S.S.R. (1982).

  3. TarasovO.V., and VladimirovA.A., Phys. Lett. 96B, 94 (1980). Grisaru, M.T., Rocek, M., and Siegel, W., Phys. Rev. Lett. 45, 1063 (1980).

    Google Scholar 

  4. Mandelstam, S., Berkeley preprint UCB-PTH-82/10 (1982).

  5. S.P.Novikov (ed.), Theory of Solitons, Nauka, Moscow, 1982.

    Google Scholar 

  6. FerraraS. and ZumenoB., Nucl. Phys. B79, 413 (1974); Salam, A. and Strathdee, J., Phys. Lett. 51B, 353 (1974); Grimm, R., Sohnius, M., and Wess, J., Nucl. Phys. B133, 275 (1978).

    Article  Google Scholar 

  7. SohniusM., Nucl. Phys. B136, 461 (1978).

    Article  Google Scholar 

  8. GatesS.J., StelleK., and WestP., Nucl. Phys. B169, 347 (1980); Sohnius, M., Stelle, K., and West, P., in S. Ferrara, J. Ellis and P. van Nieuwenhuizen (eds.), Proc. Erice Workshop on Unification of Fundamental Particle Interactions Plenum, New York, 1980.

    Article  Google Scholar 

  9. Wess, J., Supersymmetry and Supergravity, Princeton University Press, 1982.

  10. Volovich, I.V., Dokl. Acad. Nauk. U.S.S.R. 269, No. 3 (1983).

  11. WittenE., Phys. Lett. 77B, 394 (1978).

    Article  Google Scholar 

  12. BelavinA.A. and ZakharovV.E., Phys. Lett. 73B, 53 (1978).

    Article  Google Scholar 

  13. WardR., Phys. Lett. 61B, 81 (1977).

    Article  Google Scholar 

  14. Chau, L.-L., Proc. of the 18th Winter School of Theoretical Physics, Karpacz, Poland, 1981.

  15. VolovichI.V., Theor. Math. Phys. 54, 89 (1983); Phys. Lett. 123B, 329 (1983).

    Google Scholar 

  16. VolovichI.V., Theor. Math. Phys. 55, 39 (1983).

    Google Scholar 

  17. NicolaiH., Phys. Lett. 117B, 408 (1982).

    Article  Google Scholar 

  18. Faddeev, L.D., in Proc. of the Ecole d'Eté de Physique Théorique, Les Houches, 1982.

Download references

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  1. Steklov Mathematical Institute, Vavilov St. 42, 117333, Moscow, U.S.S.R.

    I. V. Volovich

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  1. I. V. Volovich
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Volovich, I.V. Supersymmetric Yang-Mills equations as an inverse scattering problem. Lett Math Phys 7, 517–521 (1983). https://doi.org/10.1007/BF00402252

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  • DOI: https://doi.org/10.1007/BF00402252

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