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.

Bibliographic Details
Main Authors: Pfäffle, Frank, Stephan, Christoph A.
Format: Others
Language:English
Published: Universität Potsdam 2012
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60032
http://opus.kobv.de/ubp/volltexte/2012/6003/