Costa, Miguel S.Penedones, João MiguelPoland, DavidRychkov, Slava2016-03-312016-03-312016-03-31201110.1007/Jhep11(2011)071https://infoscience.epfl.ch/handle/20.500.14299/125192We 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.AdS-CFT CorrespondenceConformal Field Models in String TheorySpace-Time Symmetriestext::journal::journal article::research article