Double-trace deformations of conformal correlations

• Main Authors: Simone Giombi, Vladimir Kirilin, Eric Perlmutter
• Format: Article
• Language: English
• Published: SpringerOpen 2018-02-01
• Series: Journal of High Energy Physics
• Subjects: 1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Higher Dimensions
• Online Access: http://link.springer.com/article/10.1007/JHEP02(2018)175

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.