The holographic dictionary for Beta functions of multi-trace coupling constants

  title={The holographic dictionary for Beta functions of multi-trace coupling constants},
  author={Ofer Aharony and Guy Gur-Ari and Nizan Klinghoffer},
  journal={Journal of High Energy Physics},
A bstractField theories with weakly coupled holographic duals, such as large N gauge theories, have a natural separation of their operators into ‘single-trace operators’ (dual to single-particle states) and ‘multi-trace operators’ (dual to multi-particle states). There are examples of large N gauge theories where the beta functions of single-trace coupling constants all vanish, but marginal multi-trace coupling constants have non-vanishing beta functions that spoil conformal invariance (even… 
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