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arXiv · hep-th/0412293

Yang-Mills gravity in biconformal space

Lara B. Anderson·James T. Wheeler
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Abstract

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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Lara B. Anderson, James T. Wheeler. 2006-08-10. Yang-Mills gravity in biconformal space. https://doi.org/10.1088/0264-9381%2F24%2F2%2F012

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