The threefold way to quantum periods: WKB, TBA equations and q-Painlevé
We show that TBA equations defined by the BPS spectrum of $5d$ $\mathcal{N}=1$ $SU(2)$ Yang-Mills on $S^1\times \mathbb{R}^4$ encode the q-Painlevé III$_3$ equation. We find a fine-tuned stratum in the physical moduli space of the theory where solutions to TBA equations can be obtained exactly, and...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2023-09-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.3.112 |