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The holst action by the spectral action principle

  • 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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Author details:Frank Pfäffle, Christoph A. Stephan
DOI:https://doi.org/10.1007/s00220-011-1303-0
ISSN:0010-3616
Title of parent work (English):Communications in mathematical physics
Publisher:Springer
Place of publishing:New York
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Volume:307
Issue:1
Number of pages:13
First page:261
Last Page:273
Funding institution:Deutsche Forschungsgemeinschaft
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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