TY - JOUR

T1 - Double-trace deformations of conformal correlations

AU - Giombi, Simone

AU - Kirilin, Vladimir

AU - Perlmutter, Eric

N1 - Funding Information:
We thank Igor Klebanov, David Simmons-Duffin, Charlotte Sleight, Massimo Taronna and Herman Verlinde for helpful discussions. The work of S.G. and V.K. is supported in part by the US NSF under Grant No. PHY-1620542. E.P. is supported in part by the Department of Energy under Grant No. DE-FG02-91ER40671, and by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap). This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Conformal Field Theory

KW - Field Theories in Higher Dimensions

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U2 - 10.1007/JHEP02(2018)175

DO - 10.1007/JHEP02(2018)175

M3 - Article

AN - SCOPUS:85042755954

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

M1 - 175

ER -