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DOE OSTI · 1502434

Counting conformal correlators

Kravchuk, Petr·Simmons-Duffin, David
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Abstract

We introduce simple group-theoretic techniques for classifying conformallyinvariant 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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSConformal Field TheoryConformal and W SymmetryField Theories in Higher DimensionsSpace-Time Symmetries

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Kravchuk, Petr, Simmons-Duffin, David. 2018-02-15. Counting conformal correlators. https://doi.org/10.1007/jhep02(2018)096

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