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N=6 Supergravity on Ad S5 and the SU(2,2/3) Superconformal Correspondence

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Abstract

It is argued that N=6 supergravity on Ad S5, with the gauge group SU(3)× U(1) corresponds, at the classical level, to a subsector of the ‘chiral’ primary operators of N=4 Yang–Mills theories. This projection involves a ‘duality transformation’ of N=4 Yang–Mills theory and therefore can be valid if the coupling is at a self-dual point, or for those amplitudes that do not depend on the coupling constant.

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References

  1. Maldacena, J.: hep-th/9711200.

  2. Gubser, S. S., Klebanov, I. R. and Polyakov, A. M.: Phys. Lett. B 428 (1998), 105; hepth/ 9802109.

    Google Scholar 

  3. Witten, E.: hep-th/9802150.

  4. Nahm, W.: Nuclear Phys. B 135 (1978), 149.

    Google Scholar 

  5. D'Auria, R., Ferrara, S. and Kounnas, C.: Phys. Lett. B 420 (1998), 289.

    Google Scholar 

  6. Dabholkar, A. and Harvey, J. A.: hep-th/9809122.

  7. Cremmer, E.: in S.W. Hawking and M. Ro?ek (eds), Superspace and Supergravity, Cambridge Univ. Press, 1981.

  8. Günaydin, M., Romans, L. J. and Warner, N.P.: Nuclear Phys. B 272 (1986), 598.

    Google Scholar 

  9. Günaydin, M., Romans, L.J. and Warner, N.P.: Phys. Lett. B 154 (1985), 268; Pernici, M. Pilch, K. and van Nieuwenhuizen, P.: Nuclear Phys. B 259 (1985), 460.

    Google Scholar 

  10. Haag, R., Lopuszanski, J. T. and Sohnius, M.: Nuclear Phys. B 88 (1975), 257.

    Google Scholar 

  11. Mack, G. and Salam, A.: Ann. Phys. 53 (1969), 174.

    Google Scholar 

  12. Ferrara, S.: Nuclear Phys. B 77 (1974), 73.

    Google Scholar 

  13. Ferrara, S. Fronsdal, C. and Zaffaroni, A.: hep-th/9802203, to appear in Nuclear Phys. B.

  14. Flato, M. and Fronsdal, C.: Lett. Math. Phys. 2 (1978), 421; Phys. Lett. B 97 (1980) 236; J. Math. Phys. 22 (1981), 1100; Phys. Lett. B 172 (1986), 412; Angelopoulos, E., Flato, M., Fronsdal, C. and Sternheimer, D.: Phys. Rev. D 23 (1981), 1278.

    Google Scholar 

  15. Howe, P., Stelle, K. S., Townsend, P. K.: Nuclear Phys. B 192 (1981), 332.

    Google Scholar 

  16. Ferrara, S. and Zaffaroni, A.: hep-th/9807090, on-line proceedings of String 98.

  17. Anselmi, D., Freedman, D. Z., Grisaru, M. T. and Johansen, A. A.: Phys. Lett. B 394 (1997), 329; Anselmi, D.: hep-th/9809192.

    Google Scholar 

  18. Andrianopoli, L. and Ferrara, S.: Phys. Lett. B 430 (1998), 248.

    Google Scholar 

  19. Howe, P. S. and West, P. C.: Phys. Lett. B 389 (1996), 273.

    Google Scholar 

  20. Andrianopoli, L., D'Auria, R., Ferrara, S., Fré, P. and Trigiante, M.: Nuclear Phys. B 496 (1997), 617; Andrianopoli, L., D'Auria, R. and Ferrara, S.: Phys. Lett. B 411 (1997), 39.

    Google Scholar 

  21. Banks, T. and Green, M. B.: J. High Energy Phys. 5 (1998), 002.

    Google Scholar 

  22. Kim, H. J., Romans, L. J. and van Nieuwenhuizen, P.: Phys. Rev. D 32 (1985), 389.

    Google Scholar 

  23. Salam, A. and Strathdee, J.: Ann. of Phys. 141 (1982), 316.

    Google Scholar 

  24. Lee, S., Minwalla, S., Rangamani, M. and Seiberg, N.: hep-th/9806074.

  25. D'Hoker, E., Freedman, D. Z. and Skiba, W.: hep-th/9807098.

  26. Howe, P. S., Sokatchev, E. and West, P. C.: hep-th/9808162.

  27. Liu, H. and Tseytlin, A.: hep-th/9807097; Freedman, D. Z., Mathur, S., Matusis, A. and Rastelli, L.: hep-th/9808006; Brodie, J. H. and Gutperle, M.: hep-th/9809067; D'Hoker, E. and Freedman, D. Z.: hep-th/9809179; Chalmers, G. and Schalm, K.: hep-th/9810051.

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Ferrara, S., Porrati, M. & Zaffaroni, A. N=6 Supergravity on Ad S5 and the SU(2,2/3) Superconformal Correspondence. Letters in Mathematical Physics 47, 255–263 (1999). https://doi.org/10.1023/A:1007592711262

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  • DOI: https://doi.org/10.1023/A:1007592711262

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