Work

Unmixing sub-leading Regge trajectories of $$ \mathcal{N} $$ = 4 Super-Yang-Mills

Year: 2025
Type: article
Abstract: A bstract We study the conformal field theory data (CFT-data) of planar 4D $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory in the strong ’t Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual AdS. We focus on the CFT-data of the massive short strings exchanged in the operator product expansion (OPE) of the four-point function dual to the Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge trajectories in the flat-space limit. Using inputs from recent advances in the computation of the AdS Virasoro-Shapiro amplitude, integrability, and a stipulation based on analyticity of the CFT-data in spin, we are able to fix all the CFT-data on the four unique sub-leading Regge trajectories, at leading non-trivial order, as a function of the string-mass level. One of our predictions is that one of the four unique sub-leading Regge trajectories decouples from the OPE in the flat-space limit. This hints at an emergent selection rule in the flat-space limit, similar to our previous results in arXiv:2310.06041 . Our procedure should be applicable in a variety of similar setups like for the AdS Veneziano amplitude or in ABJM.
Language: English
Open Access status: diamond
OpenAlex ID: W4409745613
FWCI: 2.836
Cites: 62
Cited by: 6
Related to: 10