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.
Author details: | Frank Pfäffle, Christoph A. Stephan |
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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 |