Yang-Mills gravity in biconformal space

Details Yang-Mills gravity in biconformal space Yang-Mills gravity in biconformal space

2004-12-24

arxiv.org/abs/hep-th/0412293v3

Class.Quant.Grav. 24 (2007) 475-496

Physics

High Energy Physics

High Energy Physics - Theory

27 pages; paper emphasis shifted to focus on gravity; references added

Scientific paper

10.1088/0264-9381/24/2/012

We write a gravity theory with Yang-Mills type action using the biconformal gauging of the conformal group. We show that the resulting biconformal Yang-Mills gravity theories describe 4-dim, scale-invariant general relativity in the case of slowly changing fields. In addition, we systematically extend arbitrary 4-dim Yang-Mills theories to biconformal space, providing a new arena for studying flat space Yang-Mills theories. By applying the biconformal extension to a 4-dim pure Yang-Mills theory with conformal symmetry, we establish a 1-1, onto mapping between a set of gravitational gauge theories and 4-dim, flat space gauge theories.

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