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Yang-Mills gravity in biconformal space - ResearchGate

Yang-Mills gravity in biconformal space - ResearchGate

Yang-Mills gravity in biconformal space -

hep-th/0412293 arXiv:hep-th/0412293v3 10 Aug 2006 Yang-Mills gravity in biconformal space Lara B. Anderson 1∗ and James T. Wheeler 2‡ 1 Mathematical Institute, University of Oxford 24-29 St. Giles’, Oxford OX1 3LB, UK 2 Department of Physics Utah State University Logan, Utah, 84321, USA 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. ∗ email: anderson@maths.ox.ac.uk ‡ email: jwheeler@cc.usu.edu

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