Refined Painlevé/gauge theory correspondence and quantum tau functions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916595243155456 |
|---|---|
| author | Bonelli, G. Shchechkin, A. Tanzini, A. |
| author_facet | Bonelli, G. Shchechkin, A. Tanzini, A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Refined Painlevé/gauge theory correspondence and quantum tau functions Bonelli, G. Shchechkin, A. Tanzini, A. High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 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. |
| title | Refined Painlevé/gauge theory correspondence and quantum tau functions |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2502.01499 |