paper

The Gauge Theory of the de-Sitter Group and Ashtekar Formulation

arXiv:gr-qc/9402029 · doi:10.1103/PhysRevD.50.R3583

Abstract

By adding the Pontrjagin topological invariant to the gauge theory of the de Sitter group proposed by MacDowell and Mansouri we obtain an action quadratic in the field-strengths, of the Chern-Simons type, from which the Ashtekar formulation is derived.

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