Peer-reviewedCC BY 4.0Journal of High Energy Physics
Blowup relations and q-Painlevé VI
- 1The University of Melbourne
Abstract
We propose and study blowup relations obeyed by the partition functions of 5d 𝒩 = 1 (quiver) SYM theories with SU (2) gauge group and four flavours. By analyzing the Weyl group action on the sets of blowup relations, we identify the integer parameters of a blowup relation with the weights of a corresponding Lie algebra. We also explain how this action of the Weyl group follows from the Weyl group symmetry of the partition function. Finally, we use these relations to derive bilinear relations on the q-Painlevé VI tau functions.
Related
- A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction
- An Extended 2+1-Dimensional Gardner Equation: On Moving Boundary Problems Solvable via Ermakov-Painlevé II Symmetry Reduction
- Multivariable Painleve'-II equation: connection formulas for arbitrary system size
- A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction
- Painlevé II connection problem revisited
BibTeX
@article{stoyan2026blowup,
title = {{Blowup relations and q-Painlevé VI}},
author = {Artem Stoyan},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)042},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)042},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Blowup relations and q-Painlevé VI
AU - Artem Stoyan
PY - 2026
DA - 2026/11/05
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)042
UR - https://link.springer.com/article/10.1007/JHEP11(2026)042
AB - We propose and study blowup relations obeyed by the partition functions of 5d 𝒩 = 1 (quiver) SYM theories with SU (2) gauge group and four flavours. By analyzing the Weyl group action on the sets of blowup relations, we identify the integer parameters of a blowup relation with the weights of a corresponding Lie algebra. We also explain how this action of the Weyl group follows from the Weyl group symmetry of the partition function. Finally, we use these relations to derive bilinear relations on the q-Painlevé VI tau functions.
SN - 1029-8479
ER -