Model-dependence of minimal-twist OPEs in d > 2 holographic CFTs

• Published in: The journal of high energy physics Vol. 2020; no. 11; pp. 1 - 31
• Main Authors: Fitzpatrick, A. Liam, Huang, Kuo-Wei, Meltzer, David, Perlmutter, Eric, Simmons-Duffin, David
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020; Springer Nature B.V; Springer Nature; SpringerOpen
• Subjects: AdS-CFT Correspondence; Classical and Quantum Gravitation; Conformal Field Theory; Correlators; Couplings; Dilatons; Elementary Particles; Field Theories in Higher Dimensions; Field theory; Gravitons; High energy physics; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scalars; String Theory; Supergravity; Tensors; AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Higher Dimensions
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2020)060

A bstract Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge C T , we clarify the properties of stress tensor composite primary operators of minimal twist, [ T m ], using arguments in both CFT and gravity. We provide an efficient proof that the three-point coupling O L O L T m , where O L is any light primary operator, is independent of the purely gravitational action. Next, we consider corrections to this coupling due to additional interactions in AdS effective field theory and the corresponding dual CFT. When the CFT contains a non-zero three-point coupling TT O L , the three-point coupling O L O L T 2 is modified at large C T if TT O L ∼ C T . This scaling is obeyed by the dilaton, by Kaluza-Klein modes of prototypical supergravity compactifications, and by scalars in stress tensor multiplets of supersymmetric CFTs. Quartic derivative interactions involving the graviton and the light probe field dual to O L can also modify the minimal-twist couplings; these local interactions may be generated by integrating out a spin- ℓ ≥ 2 bulk field at tree level, or any spin ℓ at loop level. These results show how the minimal-twist OPE coefficients can depend on the higher-spin gap scale, even perturbatively.