The Holst Action by the Spectral Action Principle

Details The Holst Action by the Spectral Action Principle The Holst Action by the Spectral Action Principle

2011-02-04

arxiv.org/abs/1102.0954v4

Commun.Math.Phys.307:261-273,2011

Physics

Mathematical Physics

We correct a sign mistake in Proposition 2.3. As a consequence the main result (Theorem 3.4) becomes more natural

Scientific paper

10.1007/s00220-011-1303-0

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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