Abstract
The singlet sector of the O(N) ϕ4-model in AdS4 at large-N, gives rise to a dual conformal field theory on the conformal boundary of AdS4, which is a deformation of the generalized free field. We identify and compute an AdS4 three-point one-loop fish diagram that controls the exact large-N dimensions and operator product coefficients (OPE) for all “double trace” operators as a function of the renormalized ϕ4-couplings. We find that the space of ϕ4-coupling is compact with a boundary at the bulk Landau pole. The dual CFT is unitary only in an interval of negative couplings bounded by the Landau pole where the lowest OPE coefficient diverges.
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Acknowledgments
We thank Till Heckelbacher, Igor Klebanov, Shota Komatsu, Juan Maldacena, Zhenya Skvortsov, Pedro Vieira, for discussions. I.S. is supported by the Excellence Cluster Origins of the DFG under Germany’s Excellence Strategy EXC-2094 390783311. The research of P.V. has received funding from the ANR grant “SMAGP” ANR-20-CE40-0026-01.
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Sachs, I., Vanhove, P. Bulk Landau pole and unitarity of dual conformal field theory. J. High Energ. Phys. 2023, 106 (2023). https://doi.org/10.1007/JHEP07(2023)106
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DOI: https://doi.org/10.1007/JHEP07(2023)106