Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 79 No. 6 (1988) pp. 1431-1450

[ Full Text PDF : FREE ACCESS (817K) ]

Construction of N = 2 Supergravity on Principal Fibre Bundle

Kiyotaka Kakazu and Schuichi Matsumoto*

Department of Physics, University of the Ryukyus, Okinawa 903-01
*Department of Mathematics, University of the Ryukyus, Okinawa 903-01

(Received February 12, 1988)

Abstract:

On shell N = 2 supergravity based on OSp(2, 4) is reconstructed by means of fibre bundle analysis, Weil polynomials and generalized commutators. The detrivialization part of the theory comes from zero-form matter fields, higher-degree Weil polynomials and generalized commutators; this part becomes the same form as that in the group manifold approach. The group manifold OSp(2, 4) corresponds to the reduced bundle with a Cartan connection and a subgroup of OSp(2, 4) as the structure group.


URL : http://ptp.ipap.jp/link?PTP/79/1431/
DOI : 10.1143/PTP.79.1431

[ Full Text PDF : FREE ACCESS (817K) ] Citation:


References:

  1. Y. Ne'eman and T. Regge, Riv. Nuovo Cim. 1 (1978), No. 5.
    A. D'Adda, R. D'Auria, P. Fré and T. Regge, Riv. Nuovo Cim. 3 (1980), No. 6.
    R. D'Auria, P. Fré and T. Regge, Riv. Nuovo Cim. 3 (1980), No. 12.
    L. Castellani, P. Fré and P. van Nieuwenhuizen, Ann. of Phys. 136 (1981), 398[CrossRef].
    R. D'Auria, P. Fré, P. K. Townsend and P. van Nieuwenhuizen, Ann. of Phys. 155 (1984), 423[CrossRef].
    L. Castellani, A. Ceresole, S. Ferrara, R. D'Auria, P. Fré and E. Maina, Nucl. Phys. B268 (1986), 317.
  2. P. Fré, Nucl. Phys. B179 (1981), 417.
  3. P. Fré, Nucl. Phys. B186 (1981), 44.
  4. P. van Nieuwenhuizen, Phys. Rev. D24 (1981), 3058[APS].
  5. S. W. MacDowell and F. Mansouri, Phys. Rev. Lett. 38 (1977), 739[APS].
    F. Mansouri, Phys. Rev. D16 (1977), 2456[APS].
    S. Tanaka, Prog. Theor. Phys. Suppl. No. 67 (1979), 282[PTP].
    R. G. Yates, Commun. Math. Phys. 76 (1980), 255[CrossRef].
    M. A. Awada, Commun. Math. Phys. 91 (1983), 53[CrossRef].
  6. K. Kakazu and S. Matsumoto, Prog. Theor. Phys. 78 (1987), 166[PTP].
  7. K. Kakazu and S. Matsumoto, Prog. Theor. Phys. 78 (1987), 932[PTP].
  8. S. Ferrara and P. van Nieuwenhuizen, Phys. Rev. Lett. 37 (1976), 1669[APS].
    D. Z. Freedman and A. Das, Nucl. Phys. B120 (1977), 221.
    P. K. Townsend and P. van Nieuwenhuizen, Phys. Lett. 67B (1977), 439.
  9. T. Eguchi, P. Gilkey and J. Hanson, Phys. Rep. 66 (1980), 213[CrossRef].
  10. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley-Interscience, New York, 1969), vol. 2.
  11. D. Bleecker, Gauge Theory and Variational Principle (Addison-Wesley, 1981).
  12. Encyclopedic Dictionary of Mathematics, ed. S. Iyanaga and Y. Kawada (MIT Press, 1986), vol. 1, p. 305.
    N. Tanaka, Jpn. J. Math. 2 (1976), 131.
  13. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley-Interscience, New York, 1963), vol. 1.
  14. B. DeWitt, Supermanifolds (Cambridge Univ. Press, London, 1984).
  15. R. D'Auria, E. Maina, T. Regge and P. Fré, Ann. of Phys. 135 (1981), 237[CrossRef].
    R. D'Auria and P. Fré, Nucl. Phys. B201 (1982), 101.
    L. Castellani, P. Fré, F. Giani, K. Pilch and P. van Nieuwenhuizen, Ann. of Phys. 146 (1983), 35[CrossRef].
    R. D'Auria, P. Fré and T. Regge, Phys. Lett. 128B (1983), 44.
    L. Castellani, Preprint CERN-TH. 4704/87 (1987).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 80 No. 6 (1988) pp. 1109-1124 :
    Construction of N=2 Supergravity on Principal Fibre Bundle. II
    Kiyotaka Kakazu