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Gauge-invariant sigma models in N=2 superspace

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Abstract

We construct a new broad class of gauge-invariant nonlinear sigma models in N=2 superspace. The dimensional reduction of the theories obtained to d=2 leads to N=4 nonlinear sigma models which are devoid of ultraviolet divergence in all orders of perturbation theory.

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Literature cited

  1. 1.

    J. H. Schwarz, Phys. Rep.,89, 223–322 (1982).

  2. 2.

    D. J. Gross, J. A. Harvey, E. Martinec, and R. Rohm, Nucl. Phys.,B256, 253–290 (1985).

  3. 3.

    M. B. Green and J. H. Schwarz, Phys. Lett.,149B, 117–122 (1984).

  4. 4.

    M. B. Green and J. H. Schwarz, Phys. Lett.,151B, 21–25 (1985).

  5. 5.

    S.-T. Yau, Proc. Natl. Acad. Sci.,74, 1798–1799 (1977).

  6. 6.

    M. B. Green, J. H. Schwarz, and P. C. West, Nucl. Phys.,B254, 327–344 (1985).

  7. 7.

    P. Candelas, G. T. Horowitz, A. Strominger, and E. Witten, Nucl. Phys.,B258, 46–90 (1985).

  8. 8.

    H. P. Nilles, Phys. Rep.,110, 1–162 (1985).

  9. 9.

    C. G. Callan, D. Friedan, E. Martinec, and M. Perry, Nucl. Phys.,B262, 593–609 (1985).

  10. 10.

    P. K. Townsend, DAMTP Preprint, Cambridge, England (1985).

  11. 11.

    H. Henneaux and L. Mezincescu, Preprint UTTG-26-84, Texas, USA (1984).

  12. 12.

    L. Alvarez-Gaume and D. Z. Freedman, Commun. Math. Phys.,80, 443–451 (1981).

  13. 13.

    C. M. Hull, Nucl. Phys.,B260, 182–202 (1985).

  14. 14.

    A. Galperin, H. Ivanov, V. Ogievetsky, and E. Sokatchev, Class. Quantum Grav.,2, 601–630 (1985).

  15. 15.

    S. V. Ketov and I. V. Tyutin, Yad. Fiz.,41, No. 5, 1353–1360 (1985).

  16. 16.

    A. Galperin, E. Ivanov, S. Kalitzin, et al., Class. Quantum Grav.,1, 469–498 (1984).

  17. 17.

    A. Galperin, E. Ivanov, V. Ogievetsky, and E. Sokatchev, Preprint E2-85-514, Dubna, USSR (1985).

  18. 18.

    R. Grimm, M. Sohnius, and J. Wess, Nucl. Phys.,B133, 275–284 (1978).

  19. 19.

    P. Howe, K. Stelle, and P. Townsend, Nucl. Phys.,B236, 125–166 (1984).

  20. 20.

    S. V. Ketov, B. B. Lokhvitskii, K. E. Osetrin, and I. V. Tyutin, Preprint TF SO AN SSSR, No. 31, Tomsk (1985).

  21. 21.

    A. Karlhede, U. Lindström, and M. Rocek, Phys. Lett.,147B, 297–300 (1984).

  22. 22.

    S. V. Ketov, Preprint No. 6090, Dep. in VINITI August 16, 1985.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 49–53, February, 1989.

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Ketov, S.V., Lokhvitskii, B.B. Gauge-invariant sigma models in N=2 superspace. Soviet Physics Journal 32, 117–120 (1989). https://doi.org/10.1007/BF00898672

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Keywords

  • Perturbation Theory
  • Dimensional Reduction
  • Sigma Model
  • Broad Class
  • Ultraviolet Divergence