Resurgent structure of 2d Yang-Mills theory on a torus
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_ | 1866908865770029056 |
|---|---|
| author | Chen, Jiashen Gu, Jie Wang, Xin |
| author_facet | Chen, Jiashen Gu, Jie Wang, Xin |
| contents | We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative partition function including contributions from all the real instantons, which is real for positive modulus and string coupling. We also explore complex instantons and find two infinite towers of them. We expect them to correspond to BPS states in type II string. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resurgent structure of 2d Yang-Mills theory on a torus Chen, Jiashen Gu, Jie Wang, Xin High Energy Physics - Theory Mathematical Physics We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative partition function including contributions from all the real instantons, which is real for positive modulus and string coupling. We also explore complex instantons and find two infinite towers of them. We expect them to correspond to BPS states in type II string. |
| title | Resurgent structure of 2d Yang-Mills theory on a torus |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.19943 |