Conformal Symmetry of Relativistic and Nonrelativistic Systems and AdS / CFT Correspondence

  title={Conformal Symmetry of Relativistic and Nonrelativistic Systems and AdS / CFT Correspondence},
  author={Carlos Leiva and Mikhail S. Plyushchay},
The nonlinear realization of conformal so(2, d) symmetry for relativistic systems and the dynamical conformal so(2, 1) symmetry of nonrelativistic systems are investigated in the context of AdS/CFT correspondence. We show that the massless particle in d-dimensional Minkowski space can be treated as the system confined to the border of the AdSd+1 of infinite radius, while various nonrelativistic systems may be canonically related to a relativistic (massless, massive, or tachyon) particle on the… CONTINUE READING
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