Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators

Details Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators

2004-06-02

arxiv.org/abs/hep-th/0406026v2

JHEP 0407 (2004) 030

Physics

High Energy Physics

High Energy Physics - Theory

Version accepted by J. High Energy Phys. Introduction and Discussion significantly expanded. References added and updated. (41

Scientific paper

10.1088/1126-6708/2004/07/030

We construct invariant differential operators acting on sections of vector bundles of densities over a smooth manifold without using a Riemannian metric. The spectral invariants of such operators are invariant under both the diffeomorphisms and the gauge transformations and can be used to induce a new theory of gravitation. It can be viewed as a matrix generalization of Einstein general relativity that reproduces the standard Einstein theory in the weak deformation limit. Relations with various mathematical constructions such as Finsler geometry and Hodge-de Rham theory are discussed.

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