A Universal Action Formula

Details A Universal Action Formula A Universal Action Formula

1996-06-11

arxiv.org/abs/hep-th/9606056v1

Phys.Rev.Lett. 77 (1996) 4868

Physics

High Energy Physics

High Energy Physics - Theory

This is a short non technical letter based on the longer version, hep-th/9606001. Tex file, 10 pages

Scientific paper

10.1103/PhysRevLett.77.4868

A universal formula for an action associated with a noncommutative geometry, defined by a spectal triple $(\Ac ,\Hc ,D)$, is proposed. It is based on the spectrum of the Dirac operator and is a geometric invariant. The new symmetry principle is the automorphism of the algebra $\Ac $ which combines both diffeomorphisms and internal symmetries. Applying this to the geometry defined by the spectrum of the standard model gives an action that unifies gravity with the standard model at a very high energy scale.

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