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Quotient space solutions of 11-dimensional supergravity

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Abstract

All the Freund-Rubin type solutions of the 11-dimensional supergravity with a simply connected quotient spaceG/H as the compact 7-dimensional manifold are found. Their geometries depend only on the imbedding ofH⊂G and the Riemannian structure ofG/H. In particular, SU3×SU2×U1/SU2×U1×U1, Einstein solutions are discussed in detail.

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References

  1. Witten, E. (1981).Nucl. Phys. Ser. B,186, 412.

    Google Scholar 

  2. Salam, A., and Strathdee, J. (1982).Ann. Phys.,141, 316.

    Google Scholar 

  3. Freund, P. G. O., and Rubin, M. (1980).Phys. Lett. Ser. B,97, 233.

    Google Scholar 

  4. Awada, M. A., Duff, M. J., and Pope, C. N. (1983).Phys. Rev. Lett.,50, 294.

    Google Scholar 

  5. Kobayashi, S., and Nomizu, K. (1969).Foundations of Differential Geometry, Vol.II (Wiley-Interscience, New York).

    Google Scholar 

  6. Bais, F. A., Nicolai, H., and van Nieuwenhuizen, P. CERN preprint TH3577.

  7. Wolf, J. (1977).Spaces of Constant Curvature, 4th ed., (Publish or Perish, Berkeley, California).

    Google Scholar 

  8. Wybourne, B. G. (1974).Classical Groups for Physicists (Wiley-Interscience, New York).

    Google Scholar 

  9. Slansky, R. (1981).Phys. Rept.,79, 1.

    Google Scholar 

  10. Randjbar-Daemi, S., Salam, Abdus, and Strathdee, H. (to be published). ICTP preprint, IC/84/15.Quant. Field Theory Quant. Stat. in honor of the 60th birthday of E. S. Fradkin.

  11. Lukierski, J., and Minnaert, P. (1983).Phys. Letts. Ser. B,129, 392.

    Google Scholar 

  12. Steenrod, N. (1951).The Topology of Fibre Bundles (Princeton University press, Princeton, N.J.).

    Google Scholar 

  13. Castellani, L., Romans, L. J., and Warner, N. P. (1984).Nucl. Phys. Ser. B,241, 429.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, Mazandaran University, P.O. Box 444, Babolsar, Iran

    F. Ardalan & H. Arfaei

  2. Department of Physics, Sharif University of Technology, P.O. Box 11365-86309, Tehran, Iran

    F. Ardalan & H. Arfaei

Authors
  1. F. Ardalan
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  2. H. Arfaei
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Ardalan, F., Arfaei, H. Quotient space solutions of 11-dimensional supergravity. Gen Relat Gravit 18, 675–684 (1986). https://doi.org/10.1007/BF00768631

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  • DOI: https://doi.org/10.1007/BF00768631

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