TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.20.2.033
TI  - Matrix models for extremal and integrated correlators of higher rank
PY  - 2026/02/05
UR  - https://scipost.org/SciPostPhys.20.2.033
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 20
IS  - 2
SP  - 033
A1  - Grassi, Alba
AU  - Iossa, Cristoforo
AB  - We study extremal and integrated correlators of half-BPS operators in four-dimensional $\mathcal{N}=2$ SQCD and $\mathcal{N}=4$ SYM with ${\rm SU}(3)$ gauge group. We focus on the large R-charge sector where the number of operators insertions becomes very large. In this regime, we demonstrate that the correlators are described by a combination of Wishart and Jacobi matrix models, coupled in a non-trivial way. The size of the matrices in each model corresponds to the maximal number of insertions for each of the two single trace generators. This dual matrix model representation allows us to extract the behavior of the correlators at weak and strong coupling in a 't Hooft-like double scaling limit, including nonperturbative corrections. Although this work focuses on ${\rm SU}(3)$, we expect that our techniques can be extended to ${\rm SU}(N)$ for $N>3$ as well.
ER  -

@Article{10.21468/SciPostPhys.20.2.033,
	title={{Matrix models for extremal and integrated correlators of higher rank}},
	author={Alba Grassi and Cristoforo Iossa},
	journal={SciPost Phys.},
	volume={20},
	pages={033},
	year={2026},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.20.2.033},
	url={https://scipost.org/10.21468/SciPostPhys.20.2.033},
}