Year: 2025
Type: article
Abstract: In this paper we study strong coupling asymptotic expansions of $$\mathcal {N}=2$$ N = 2 four-dimensional SU (2) gauge theory partition functions in general $$\Omega $$ Ω -background. This is done by refining the Painlevé/gauge theory correspondence in terms of quantum Painlevé equations, obtained from $$\mathbb {C}^2/\mathbb {Z}_2$$ C 2 / Z 2 blowup relations. We present a general ansatz and a systematic analysis of the expansions of the gauge theory partition functions by solving the above equations around the strong coupling singularities, including Argyres–Douglas points. We check our results via refined holomorphic anomaly equations and compare with irregular Virasoro conformal blocks.
Source: Annales Henri Poincaré
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4416677975