Prog. Theor. Phys. Vol. 66 No. 5 (1981) pp. 1843-1857

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Indefinite-Metric Quantum Field Theory of General Relativity. XIV

— Sixteen-Dimensional Noether Supercurrents and General Linear Invariance —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received July 3, 1981)

Abstract:

In the manifestly covariant canonical formalism of quantum gravity, the sixteen-dimensional Noether supercurrents are explicitly calculated in a unified way and are shown to reproduce the generators of the sixteen-dimensional Poincaré-like superalgebra.
Some fundamental remarks are made concerning the general linear invariance of the theory. The Lorentz generators under which the Dirac field behaves as a world spinor are shown to be obtained as a consequence of the simultaneous spontaneous breakdown of general linear invariance and internal Lorentz invariance. It is emphasized that Poincaré invariance should not be regarded as a first principle of the most fundamental theory.

URL : http://ptp.ipap.jp/link?PTP/66/1843/
DOI : 10.1143/PTP.66.1843

References:

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