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

J. A. Nieto·O. Obregón·J. Socorro
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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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J. A. Nieto, O. Obregón, J. Socorro. 1994-02-22. The Gauge Theory of the de-Sitter Group and Ashtekar Formulation. https://doi.org/10.1103/physrevd.50.r3583

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