Spinning Conformal Correlators

2011/07/18 by Miguel S. Costa, Joao Penedones, David Poland +1 · 1 voice
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep11(2011)071

published as JHEP 1111 (2011) 071 · 46 pages, 3 figures; V2: references added; V3: tiny misprint corrected in (A.9)

arxiv published 2011/07/18 · arxiv created 2015/01/23 · arxiv updated 2015/01/26

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.

Discussions

• I was looking at spinning conformal correlators , where the embedding space formalism for conformal field theory is introduced. Early on, they give a prescription for defining fields real space as \be [stackexchange, 2 points]