Spinning Conformal Correlators

Details Spinning Conformal Correlators Spinning Conformal Correlators

2011-07-18

arxiv.org/abs/1107.3554v2

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 3 figures; V2: references added

Scientific paper

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary polarization vectors. The efficiency of the formalism is demonstrated by computing the tensor structures allowed in n-point conformal correlation functions of tensors operators. Constraints due to tensor conservation also take a simple form in this formalism. Finally, we obtain a perfect match between the number of independent tensor structures of conformal correlators in d dimensions and the number of independent structures in scattering amplitudes of spinning particles in (d+1)-dimensional Minkowski space.

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