Gauged duality, conformal symmetry, and spacetime with two times

  title={Gauged duality, conformal symmetry, and spacetime with two times},
  author={Itzhak Bars and Cemsinan Deliduman and Oleg Yu. Andreev},
  journal={Physical Review D},
We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the hydrogen atom in any number of dimensions. The key is the gauging of the Sp(2) duality symmetry that treats position and momentum (x,p) as a doublet in phase space. As a consequence of the gauging, the Minkowski spacetime vectors x{sup {mu}},p{sup {mu}} get enlarged by one additional spacelike and… 

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