Abstract
Large N conformal field theories often admit unitary renormalization group flows triggered by double-trace deformations. We compute the change in scalar four-point functions under double-trace flow, to leading order in 1/N. This has a simple dual in AdS, where the flow is implemented by a change of boundary conditions, and provides a physical interpretation of single-valued conformal partial waves. We extract the change in the conformal dimensions and three-point coefficients of infinite families of double-trace composite operators. Some of these quantities are found to be sign-definite under double-trace flow. As an application, we derive anomalous dimensions of spinning double-trace operators comprised of non-singlet constituents in the O(N) vector model.
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Giombi, S., Kirilin, V. & Perlmutter, E. Double-trace deformations of conformal correlations. J. High Energ. Phys. 2018, 175 (2018). https://doi.org/10.1007/JHEP02(2018)175
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DOI: https://doi.org/10.1007/JHEP02(2018)175