Rigorous proof that rational parts of spinning conformal correlators are spanned by known building blocks, plus combinatorial counts and closed formulas for three-point structures.
A note on three-point functions of conserved currents
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abstract
We find the form of three-point correlation functions of traceless symmetric conserved currents of arbitrary spin in d-dimensional conformal field theory (CFT). These are fixed up to several constants by conformal symmetry and current conservation conditions. We present generating functionals for all structures in arbitrary d. In even dimensions we present an interpretation for each structure in terms of the corresponding free field. In odd dimensions d>3 an infinite number of structures is found which are not generated by known CFTs.
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2026 1verdicts
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Constraining Conformal Correlators
Rigorous proof that rational parts of spinning conformal correlators are spanned by known building blocks, plus combinatorial counts and closed formulas for three-point structures.