Abstract
We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be given by a double Fourier transform. All order interactions are explicitly specified through the collective action. This generates bulk Feynman (Witten) diagrams (at tree and loop level). We give details of the four-point case evaluation. It is noted that the bi-local construction goes beyond the assumptions in various discussions of non-locality.
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de Mello Koch, R., Jevicki, A., Suzuki, K. et al. AdS maps and diagrams of bi-local holography. J. High Energ. Phys. 2019, 133 (2019). https://doi.org/10.1007/JHEP03(2019)133
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DOI: https://doi.org/10.1007/JHEP03(2019)133