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Kaluza-Klein Theory and the Positive Energy Theorem

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Particles and Fields 2

Abstract

These lecture notes deal with two topics that I believe are closely related. The first topic is the Kaluza-Klein theory — an old approach to unification of gauge fields with general relativity which is now more interesting than ever. The second topic is the positive energy theorem. It is relevant to Kaluza-Klein theory because it has a bearing on the question of what determines the stable ground state of general relativity; that is the key question that underlies the Kaluza-Klein theory.

Supported in part by NSF Grant Phy78-01221.

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References

  1. E. Witten, Erice lectures (1981), to appear.

    Google Scholar 

  2. Th. Kaluza, Sitzungsber. Preuss. Akad. Wiss. Berlin, Math. Phys. K1, 966 (1921).

    Google Scholar 

  3. O. Klein, Z. Phys. 37, 895 (1926).

    Google Scholar 

  4. A. Einstein and P. Bergman, Ann. Math. 39, 683 (1938).

    Google Scholar 

  5. B. De Witt, in Lectures at 1963 Les Houches School, ed. B. De Witt and C. De Witt (New York, Gordon and Breach, 1964); R. Kerner, Ann. Inst. H. Poincaré, 9, 143 (1968); A. Trautman, Rep. Math. Phys. 29 (1970).

    Google Scholar 

  6. J. Cremmer and J.H. Schwarz, Phys. Lett. 57B, 463 (1975); E. Cremmer and J. Scherk, Nucl. Phys. B103, 393 (1976); B108, 409 (1976).

    Google Scholar 

  7. E. Witten, Nucl. Phys. B186, 412 (1981).

    Google Scholar 

  8. E. Cremmer, B. Julia and J. Scherk, Phys. Lett. 76B, 409 (1978); E. Cremmer and B. Julia, Phys. Lett. 80B, 48 (1978); Nucl. Phys. B159, 141 (1979).

    Google Scholar 

  9. W. Nahm, Nucl. Phys. B135, 149 (1978).

    Google Scholar 

  10. R. Arnowitt, S. Deser and C.W. Misner, Phys. Rev. 117, 1595 (1960); 118, 1100 (1960); 122, 997 (1961).

    Google Scholar 

  11. C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation (W.H. Freeman, San Francisco, 1973 ).

    Google Scholar 

  12. S. Coleman, Phys. Rev. D15, 2929 (1977); S. Coleman and C.G. Callan, Jr., Phys. Rev. D16, 1762 (1977).

    Google Scholar 

  13. P. Schoen and S.T. Yau, Phys. Rev. Lett. 42, 547 (1979); Comm. Math. Phys. 65, 45 (1979); 79, 231 (1981), 79, 47 (1981).

    Google Scholar 

  14. E. Witten, Comm. Math. Phys. 80, 381 (1981).

    Google Scholar 

  15. S. Deser and C. Teitelboim, Phys. Rev. Lett. 39, 249 (1977); M. Grisaru, Phys. Lett. 73B, 207 (1978).

    Google Scholar 

  16. J. Nester, Phys. Lett. 83A, 241 (1981).

    Google Scholar 

  17. L. Faddeev, in Akad. Nauk. USSR, 1981.

    Google Scholar 

  18. T. Parker and C. Taubes, Harvard preprint (1981).

    Google Scholar 

  19. M. Perry (private communication).

    Google Scholar 

  20. O. Reula, University of Chicago preprint (1981).

    Google Scholar 

  21. W. Israel and J. Nester, Phys. Lett. 85A, 259 (1981).

    Google Scholar 

  22. G. Horowitz and M. Perry, Princeton preprint (1981).

    Google Scholar 

  23. E. Witten, “Instability of the Kaluza-Klein Vacuum”, to appear in Nucl. Phys. B.

    Google Scholar 

  24. R. Schoen and S.-T. Yau, preprint. Institute for Advanced Study, 1981.

    Google Scholar 

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© 1983 Plenum Press, New York

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Witten, E. (1983). Kaluza-Klein Theory and the Positive Energy Theorem. In: Capri, A.Z., Kamal, A.N. (eds) Particles and Fields 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3593-1_6

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  • DOI: https://doi.org/10.1007/978-1-4613-3593-1_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3595-5

  • Online ISBN: 978-1-4613-3593-1

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