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arXiv · 1107.3554

Spinning Conformal Correlators

Miguel S. Costa·Joao Penedones·David Poland·Slava Rychkov
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Abstract

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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Miguel S. Costa, Joao Penedones, David Poland, Slava Rychkov. 2011-07-18. Spinning Conformal Correlators. https://doi.org/10.1007/jhep11(2011)071

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