Meson correlators in 4d $\mathcal{N}=2$ SCFTs and hints for 8d structures at weak coupling

TL;DR

This paper investigates meson correlators in 4d $ ext{SCFTs}$ with $ ext{N}=2$ supersymmetry, revealing emergent 8d structures at weak coupling that parallel known strong coupling phenomena and hint at higher-dimensional frameworks.

Contribution

It provides the first one-loop analysis of meson correlators in 4d $ ext{N}=2$ SCFTs, uncovering emergent 8d structures similar to those at strong coupling.

Findings

One-loop corrections to meson correlators are computed.

Emergent 8d structures are identified in weak coupling regime.

Resummation into generating functions reveals higher-dimensional patterns.

Abstract

We study correlators of $\frac{1}{2}$-BPS mesons in two examples of 4d SQCDs with $\mathcal{N}=2$ superconformal symmetry in the planar limit. We focus on the weakly coupled regime and obtain one-loop corrections to $n$-point meson correlators with arbitrary operator dimensions. We show that these corrections can be resumed into generating functions which exhibit emergent 8d structures similar to the ones previously observed at strong coupling via AdS/CFT. These structures of the $\mathcal{N}=2$ theories also resemble the hidden 10d structures in 4d $\mathcal{N}=4$ SYM.