Dessins d’enfants, Seiberg-Witten curves and conformal blocks
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 dess...
| Main Authors: | , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2021
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| _version_ | 1797104458517184512 |
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| author | Bao, J Foda, O He, Y-H Hirst, E Read, J Xiao, Y Yagi, F |
| author_facet | Bao, J Foda, O He, Y-H Hirst, E Read, J Xiao, Y Yagi, F |
| author_sort | Bao, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:34:05Z |
| format | Journal article |
| id | oxford-uuid:f7015edc-b384-4043-bd44-39557b606a6f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:34:05Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:f7015edc-b384-4043-bd44-39557b606a6f2022-03-27T12:39:27ZDessins d’enfants, Seiberg-Witten curves and conformal blocksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f7015edc-b384-4043-bd44-39557b606a6fEnglishSymplectic ElementsSpringer2021Bao, JFoda, OHe, Y-HHirst, ERead, JXiao, YYagi, FWe 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. |
| spellingShingle | Bao, J Foda, O He, Y-H Hirst, E Read, J Xiao, Y Yagi, F Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title | Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title_full | Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title_fullStr | Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title_full_unstemmed | Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title_short | Dessins d’enfants, Seiberg-Witten curves and conformal blocks |
| title_sort | dessins d enfants seiberg witten curves and conformal blocks |
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