Spinning conformal correlators
Abstract
We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an indexfree 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 npoint 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2011
 DOI:
 10.1007/JHEP11(2011)071
 arXiv:
 arXiv:1107.3554
 Bibcode:
 2011JHEP...11..071C
 Keywords:

 AdSCFT Correspondence;
 Conformal Field Models in String Theory;
 SpaceTime Symmetries;
 High Energy Physics  Theory
 EPrint:
 46 pages, 3 figures