Dessins d'enfants, Seiberg-Witten curves and conformal blocks
Bao, J. 
ORCID: 0000-0002-9583-1696, Foda, O., He, Y-H. ORCID: 0000-0002-0787-8380 , Hirst, E. ORCID: 0000-0003-1699-4399, Read, J., Xiao, Y. & Yagi, F. (2021).
Dessins d'enfants, Seiberg-Witten curves and conformal blocks.
Journal of High Energy Physics, 2021(5),
article number 65.
doi: 10.1007/jhep05(2021)065
Abstract
We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N = 2 supersymmetric instanton partition functions and 2d Virasoro conformal blocks. We explicitly demonstrate the 6 trivalent dessins with 4 punctures on the sphere. We find that the parametrizations obtained from a dessin should be related by certain duality for gauge theories. Then we will discuss that some dessins could correspond to conformal blocks satisfying certain rules in different minimal models.
| Publication Type: | Article |
|---|---|
| Additional Information: | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution International Public License 4.0.
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