Yang-Mills theory as a quantum gravity with `aether'

Details Yang-Mills theory as a quantum gravity with `aether' Yang-Mills theory as a quantum gravity with `aether'

2001-08-14

arxiv.org/abs/hep-th/0108097v2

Grav.Cosmol. 8 (2002) 33-42

Physics

High Energy Physics

High Energy Physics - Theory

10 p., title changed, final version to be published in a special issue of Gravitation and Cosmology to mark the 100th annivers

Scientific paper

Quantum Yang-Mills theory can be rewritten in terms of gauge-invariant variables: it has the form of the so-called BF gravity, with an additional `aether' term. The BF gravity based on the gauge group SU(N) is actually a theory of high spin fields (up to J=N) with high local symmetry mixing up fields with different spins -- like in supergravity but without fermions. At N going to infinity one gets a theory with an infinite tower of spins related by local symmetry, similar to what one has in string theory. We, thus, outline a way to derive string theory from a local Yang-Mills theory in the large N limit.

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