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Prog. Theor. Phys. Vol. 78 No. 4 (1987) pp. 932-950

[ Full Text PDF : FREE ACCESS (672K) ]

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 May 22, 1987)

Abstract:

Introducing Weil polynomials and “generalized commutators”, we formulate on-shell N=1 supergravity on a principal fibre bundle; this formalism is quite similar to the group manifold one. The “cochains” in group manifold formalism are constructed in terms of Weil polynomials and “generalized commutators”. It is shown that the approach of MacDowell and Mansouri has a close relationship to the group manifold formalism in OSp(1, 4) supergravity.


URL : http://ptp.ipap.jp/link?PTP/78/932/
DOI : 10.1143/PTP.78.932

[ Full Text PDF : FREE ACCESS (672K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1431-1450 :
    Construction of N = 2 Supergravity on Principal Fibre Bundle
    Kiyotaka Kakazu and Schuichi Matsumoto
  2. Progress of Theoretical Physics Vol. 80 No. 6 (1988) pp. 1109-1124 :
    Construction of N=2 Supergravity on Principal Fibre Bundle. II
    Kiyotaka Kakazu

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