arXiv
Open Access
2025
Refined Painlevé/gauge theory correspondence and quantum tau functions
G. Bonelli
A. Shchechkin
A. Tanzini
Abstrak
In this paper we study strong coupling asymptotic expansions of ${\mathcal N}=2$ $D=4$ $SU(2)$ gauge theory partition functions in general $Ω$-background. This is done by refining Painlevé/gauge theory correspondence in terms of quantum Painlevé equations, obtained from $\mathbb{C}^2/\mathbb{Z}_2$ 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 compare our results with refined holomorphic anomaly equations and irregular Virasoro conformal blocks.
Penulis (3)
G
G. Bonelli
A
A. Shchechkin
A
A. Tanzini
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
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- en
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- arXiv
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