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We propose and demonstrate a new use for conformal field theory (CFT) crossing equations in the context of AdS/CFT: the computation of loop amplitudes in AdS, dual to non-planar correlators in holographic CFTs.
D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, “Unitarity Methods in AdS/CFT,” arXiv:1912.xxxxx [hep-th]
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2009
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2010
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I. Heemskerk and J. Sully, “More Holography from Conformal Field Theory,” JHEP
2010
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J. Bjornsson and M. B. Green, “5 loops in 24/5 dimensions,” JHEP
2010
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J. Penedones, “Writing CFT correlation functions as AdS scattering amplitudes,” JHEP
2011
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M. F. Paulos, “Towards Feynman rules for Mellin amplitudes,” JHEP
2011
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2011
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A. L. Fitzpatrick and J. Kaplan, “Analyticity and the Holographic S-Matrix,” JHEP
2012
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2014
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M. S. Costa, V. Goncalves, and J. Penedones, “Spinning AdS Propagators,” JHEP
2014
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2015
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L. F. Alday, A. Bissi, and T. Lukowski, “Lessons from crossing symmetry at large N,” JHEP
2015
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L. F. Alday, A. Bissi, and T. Lukowski, “Large spin systematics in CFT,” JHEP
2015
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V. Goncalves, J. Penedones, and E. Trevisani, “Factorization of Mellin amplitudes,” JHEP
2015
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2016
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2016
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T. Hartman, S. Jain, and S. Kundu, “Causality Constraints in Conformal Field Theory,” JHEP
2016
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2016
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2016
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E. Perlmutter, “Bounding the Space of Holographic CFTs with Chaos,” JHEP
2016
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2016
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