Gauged Duality , Conformal Symmetry and Spacetime with Two Times

  title={Gauged Duality , Conformal Symmetry and Spacetime with Two Times},
  author={Cemsinan Deliduman and Oleg I Andreev},
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 space-time vectors x, p get enlarged by one additional space-like and one additional… CONTINUE READING


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