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29 March 2024
 
  » arxiv » hep-th/0412293

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Yang-Mills Gravity in Biconformal Space
Lara B. Anderson ; James T. Wheeler ;
Date 24 Dec 2004
Subject hep-th
AbstractWe propose a new conformal supergravity model with direct relevance to string/gauge theory dualities. This biconformal supergravity theory is formulated with a Yang-Mills type action. The resulting 8-dim symplectic geometries describe 4-dim scale-invariant general relativity. We then show an extension of N = 4 SUSY Yang-Mills to a curved biconformal geometry such that the extended form of the Yang-Mills fields provides the curvatures for the biconformal space. These curvatures solve the biconformal field equations whenever the original 4-dim fields satisfy the 4-dim YM theory. This gives a 1-1 mapping between the gravity and gauge theories. We also display systematic extension of any spacetime co-tangent bundle to a biconformal space, and extension of any 4-dim Yang-Mills theory to an equivalent theory on that space.
Source arXiv, hep-th/0412293
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