TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.004
TI  - Exploring superconformal Yang-Mills theories through matrix Bessel kernels
PY  - 2025/07/02
UR  - https://scipost.org/SciPostPhys.19.1.004
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 004
A1  - Bajnok, Zoltan
AU  - Boldis, Bercel
AU  - Korchemsky, Gregory
AB  - A broad class of observables in four-dimensional $\mathcal{N}=2$ and $\mathcal{N}=4$ superconformal Yang-Mills theories can be exactly computed in the planar limit for arbitrary 't Hooft coupling as Fredholm determinants of integrable Bessel operators. These observables admit a unifying description through a one-parameter generating function, which possesses a determinant representation involving a matrix generalization of the Bessel operator. We analyze this generating function over a wide range of parameter values and finite 't Hooft coupling. We demonstrate that it has a well-behaved weak-coupling expansion with a finite radius of convergence. In contrast, the strong-coupling expansion exhibits factorially growing coefficients, necessitating the inclusion of non-perturbative corrections that are exponentially suppressed at strong coupling. We compute these non-perturbative corrections and observe a striking resemblance between the resulting trans-series expansion of the generating function and the partition function of a strongly coupled theory expanded in powers of a mass gap.
ER  -

@Article{10.21468/SciPostPhys.19.1.004,
	title={{Exploring superconformal Yang-Mills theories through matrix Bessel kernels}},
	author={Zoltan Bajnok and Bercel Boldis and Gregory P. Korchemsky},
	journal={SciPost Phys.},
	volume={19},
	pages={004},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.004},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.004},
}