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Double-trace deformations of conformal correlations

Author(s): Giombi, Simone; Kirilin, Vladimir; Perlmutter, Eric

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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.
Publication Date: 28-Feb-2018
Electronic Publication Date: 28-Feb-2018
Citation: Giombi, Simone, Kirilin, Vladimir, Perlmutter, Eric. (2018). Double-trace deformations of conformal correlations. Journal of High Energy Physics, 2018 (2), 10.1007/jhep02(2018)175
DOI: doi:10.1007/jhep02(2018)175
EISSN: 1029-8479
Keywords: 1/N Expansion, AdS-CFT Correspondence, Conformal Field Theory, Field Theories in Higher Dimensions
Language: en
Type of Material: Journal Article
Journal/Proceeding Title: Journal of High Energy Physics
Version: Final published version. This is an open access article.

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