Prog. Theor. Phys. Vol. 64 No. 2 (1980) pp. 639-650

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Indefinite-Metric Quantum Field Theory of General Relativity. X

— Sixteen-Dimensional Superspace —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received March 6, 1980)

Abstract:

The sixteen-dimensional superspace structure of the manifestly-covariant canonical formalism of quantum gravity is investigated in detail. The field equations and the equal-time (anti-) commutation relations are shown to be expressible in the sixteen-dimensional form. The sixteen-dimensional Poincaré-like superalgebra found previously is rederived in a unified way. It is shown that this superalgebra is simulated by a system of an idealized angular supermomentum and an idealized supermomentum, where the former is expressed as an antisymmetric product of the latter and an idealized position supervector.

URL : http://ptp.ipap.jp/link?PTP/64/639/
DOI : 10.1143/PTP.64.639

References:

Citing Article(s) :

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