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

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arxiv 2412.17260 v1 pith:VIL4WIFK submitted 2024-12-23 hep-th

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

Xi-Er Du , Zhongjie Huang , Bo Wang , Ellis Ye Yuan , Xinan Zhou This is my paper
classification hep-th
keywords mathcalstructurescorrelatorscorrectionscouplingmesonarbitrarycoupled
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons

    hep-th 2025-12 conditional novelty 7.0

    A general two-loop formula is obtained for all n-point 10d null polygon correlators in planar N=4 SYM, expressed in a conformal-integral basis and verified numerically at 11 points.