Year: 2024
Type: article
Abstract: A bstract We consider an effective theory of massive scalar fields on a fixed AdS d +1 background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT d operators matches the sum of all the others. For cubic bulk couplings, this is ∆ i + ∆ j = ∆ k . These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once renormalized, we demonstrate that this coupling introduces non-trivial mixing between single- and double-trace operators, and we compute the anomalous dimensions of the corrected operators to leading order in perturbation theory.
Source: Journal of High Energy Physics
Authors: Alejandra Castro, Pedro J. Martinez
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405984447