Spinning conformal correlators
- 390 Downloads
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 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.
KeywordsAdS-CFT Correspondence Conformal Field Models in String Theory SpaceTime Symmetries
- S. Ferrara, A. F. Grillo and R. Gatto, Springer Tracts in Modern Physics. Vol. 67: Conformal algebra in space-time and operator product expansion, Springer Verlag, Heidelberg Germany (1973).Google Scholar
- V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova and I.T. Todorov, Lecture Notes in Physics. Vol. 63: Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory, Springer Verlag, Berlin Germany (1977).Google Scholar
Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.