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Prog. Theor. Phys. Vol. 79 No. 1 (1988) pp. 227-239

Complete Gauge Fixing in the New Local Supersymmetry of the Vierbein Formalism of Einstein Gravity

Mitsuo Abe and Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received August 13, 1987)

Abstract:

In the theory of the new local supersymmetry of the vierbein formalism, it is found that the gauge fixing proposed previously is incomplete. An arbitrary adjoint representation of the supersymmetry is shown to be decomposed into a sum of three types of mutually orthogonal adjoint representations, and then three types of connection supermultiplets are constructed. On the basis of those results, the complete gauge-fixing Lagrangian density is successfully constructed in a globally super-invariant manner.

URL : http://ptp.ipap.jp/link?PTP/79/227/
DOI : 10.1143/PTP.79.227

[ Full Text PDF : FREE ACCESS (601K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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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. N. Nakanishi, Prog. Theor. Phys. 62 (1979), 779[PTP].
4. N. Nakanishi, Prog. Theor. Phys. Suppl. No. 86 (1986), 203[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 79 No. 1 (1988) pp. 240-249 :

   BRS-Invariant Lagrangian Density in the New Local Supersymmetry of the Vierbein Formalism of Einstein Gravity

   Mitsuo Abe and Noboru Nakanishi

2. Progress of Theoretical Physics 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

3. 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

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