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The Holst Action by the Spectral Action Principle

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An Erratum to this article was published on 30 May 2012

Abstract

We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    Frank Pfäffle & Christoph A. Stephan

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  1. Frank Pfäffle
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  2. Christoph A. Stephan
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Correspondence to Christoph A. Stephan.

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Communicated by A. Connes

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Pfäffle, F., Stephan, C.A. The Holst Action by the Spectral Action Principle. Commun. Math. Phys. 307, 261–273 (2011). https://doi.org/10.1007/s00220-011-1303-0

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