Higher spin ANEC and the space of CFTs

  title={Higher spin ANEC and the space of CFTs},
  author={David Meltzer},
  journal={Journal of High Energy Physics},
A bstractWe study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin generalizations of the averaged null energy condition (ANEC). By studying higher spin ANEC, we will derive new bounds on the dimensions of charged, spinning operators and prove that if the Hofman-Maldacena bounds are saturated, then the theory has a higher spin symmetry. We also derive new, general bounds on CFTs… Expand

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