Abstract
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al. [1] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk threepoint interaction vertices which give rise to all possible boundary three point structures. We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.
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Dyer, E., Freedman, D.Z. & Sully, J. Spinning geodesic Witten diagrams. J. High Energ. Phys. 2017, 60 (2017). https://doi.org/10.1007/JHEP11(2017)060
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DOI: https://doi.org/10.1007/JHEP11(2017)060