Spinning Conformal Correlators

Miguel S. Costa , Joao Penedones , David Poland , Slava Rychkov (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Miguel S. Costa, Joao Penedones, David Poland, Slava Rychkov. Spinning Conformal Correlators. 2011. ⟨hal-00617489⟩