4.4 Article

Counting conformal correlators

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2018)096

Keywords

Conformal Field Theory; Conformal and W Symmetry; Field Theories in Higher Dimensions; Space-Time Symmetries

Funding

  1. William D. Loughlin Membership at the Institute for Advanced Study
  2. Simons Foundation [488657]
  3. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0009988, DE-SC0011632]

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We introduce simple group-theoretic techniques for classifying conformally-invariant tensor structures. With them, we classify tensor structures of general n-point functions of non-conserved operators, and n >= 4-point functions of general conserved currents, with or without permutation symmetries, and in any spacetime dimension d. Our techniques are useful for bootstrap applications. The rules we derive simultaneously count tensor structures for flat-space scattering amplitudes in d + 1 dimensions.

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