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Spinning Conformal Correlators | | Miguel S. Costa
; Joao Penedones
; David Poland
; Slava Rychkov
; | | Date: |
18 Jul 2011 | | 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. | | Source: | arXiv, 1107.3554 | | Services: | Forum | Review | PDF | Favorites | |
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