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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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Metadaten
Author:Frank Pfäffle, Christoph A. Stephan
DOI:https://doi.org/10.1007/s00220-011-1303-0
ISSN:0010-3616 (print)
Parent Title (English):Communications in mathematical physics
Publisher:Springer
Place of publication:New York
Document Type:Article
Language:English
Year of first Publication:2011
Year of Completion:2011
Release Date:2017/03/26
Volume:307
Issue:1
Pagenumber:13
First Page:261
Last Page:273
Funder:Deutsche Forschungsgemeinschaft
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert