Abstract
We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual. We count to O(1/N 2) the solutions to the crossing constraints in conformal field theory for a completely general scalar four-point function and show that, to this order, the counting matches the number of independent interactions in a general scalar theory on Anti-de Sitter space. We introduce parity odd conformal blocks for this purpose.
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ArXiv ePrint: 1006.0976
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Heemskerk, I., Sully, J. More holography from conformal field theory. J. High Energ. Phys. 2010, 99 (2010). https://doi.org/10.1007/JHEP09(2010)099
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DOI: https://doi.org/10.1007/JHEP09(2010)099