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On gravity, torsion and the spectral action principle

  • We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spectral triples. In case of dimension four and totally anti-symmetric torsion we compute the Chamseddine-Connes spectral action, deduce the equations of motions and discuss critical points.

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Author details:Frank Pfäffle, Christoph A. Stephan
DOI:https://doi.org/10.1016/j.jfa.2011.11.013
ISSN:0022-1236
Title of parent work (English):Journal of functional analysis
Publisher:Elsevier
Place of publishing:San Diego
Publication type:Article
Language:English
Year of first publication:2012
Publication year:2012
Release date:2017/03/26
Tag:Chamseddine-Connes spectral action; Commutative geometries; Orthogonal connections with torsion; Spectral triples
Volume:262
Issue:4
Number of pages:37
First page:1529
Last Page:1565
Funding institution:Deutsche Forschungsgemeinschaft; SFB Raum-Zeit-Materie
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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