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

Fuente: arXiv
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Main Authors: Du, Xi-Er, Huang, Zhongjie, Wang, Bo, Yuan, Ellis Ye, Zhou, Xinan
Format: Preprint
Published: 2024
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author Du, Xi-Er
Huang, Zhongjie
Wang, Bo
Yuan, Ellis Ye
Zhou, Xinan
author_facet Du, Xi-Er
Huang, Zhongjie
Wang, Bo
Yuan, Ellis Ye
Zhou, Xinan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17260
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Meson correlators in 4d $\mathcal{N}=2$ SCFTs and hints for 8d structures at weak coupling
Du, Xi-Er
Huang, Zhongjie
Wang, Bo
Yuan, Ellis Ye
Zhou, Xinan
High Energy Physics - Theory
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.
title Meson correlators in 4d $\mathcal{N}=2$ SCFTs and hints for 8d structures at weak coupling
topic High Energy Physics - Theory
url https://arxiv.org/abs/2412.17260