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 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.
Cite
@article{arxiv.1107.3554,
title = {Spinning Conformal Correlators},
author = {Miguel S. Costa and Joao Penedones and David Poland and Slava Rychkov},
journal= {arXiv preprint arXiv:1107.3554},
year = {2015}
}
Comments
46 pages, 3 figures; V2: references added; V3: tiny misprint corrected in (A.9)