Instanton representation of Plebanski gravity: XIX. Reality conditions

Details Instanton representation of Plebanski gravity: XIX. Reality conditions Instanton representation of Plebanski gravity: XIX. Reality conditions

2008-06-24

arxiv.org/abs/0806.3964v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages. Submitting to the Journal of Hadronic Physics

Scientific paper

In this paper we implement reality conditions on the instanton representation of Plebanski gravity using adjointness relations in the quantum theory. The result is an explicit parametrization for the Ashtekar connection by three degrees of freedom which guarantee the reality of the Ashtekar densitized triad. The results of this paper are limited to the diagonal sector of the full theory.

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