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Prog. Theor. Phys. Vol. 80 No. 4 (1988) pp. 731-741

Supercurvature in the OSp(N, 2; C) Extension of Local Lorentz Symmetry

Mitsuo Abe and Noboru Nakanishi

Reserch Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received June 15, 1988)

Abstract:

Supercurvature is defined and calculated explicitly in the theory of the OSp(N, 2; C) supersymmetric extension of local Lorentz symmetry in the framework of the vierbein formalism of Einstein gravity. The supercurvature is shown to reduce to the Riemann curvature plus the SO(N) chiral gauge field strength.

URL : http://ptp.ipap.jp/link?PTP/80/731/
DOI : 10.1143/PTP.80.731

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References:

1. N. Nakanishi, Prog. Theor. Phys. 77 (1987), 1533[PTP].
2. M. Abe and N. Nakanishi, Prog. Theor. Phys. 78 (1987), 704[PTP].
3. M. Abe and N. Nakanishi, Prog. Theor. Phys. 79 (1988), 227[PTP].
4. M. Abe and N. Nakanishi, Prog. Theor. Phys. 79 (1988), 240[PTP].
5. M. Abe, Z. Phys. C, to be published.
6. M. Abe and N. Nakanishi, Preprint RIMS-609.
7. M. Abe, Z. Phys. C, to be published.
8. H. Kanno, Preprint RIMS-619.
9. N. Nakanishi, Pub. Res. Inst. Math. Sci. (Kyoto) 19 (1983), 1095.
10. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. No. 66 (1979), 1[PTP].
11. M. Abe and N. Nakanishi, Prog. Theor. Phys. 80 (1988), No. 5.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 80 No. 5 (1988) pp. 913-921 :

   Supersymmetric Extension of the Three-Dimensional Local Lorentz Symmetry and the Chern-Simons Term

   Mitsuo Abe and Noboru Nakanishi

2. Progress of Theoretical Physics Vol. 89 No. 4 (1993) pp. 917-928 :

   Quantum Einstein Gravity as a Differential Geometry

   Hideaki Nakamura

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