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Dessins d’enfants, Seiberg-Witten curves and conformal blocks
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Dessins d’enfants, Seiberg-Witten curves and conformal blocks
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Journal Article
Dessins d’enfants, Seiberg-Witten curves and conformal blocks
2021
Overview
A
bstract
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
