scholarly journals Gauge theories and dessins d’enfants: beyond the torus

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Sownak Bose ◽  
James Gundry ◽  
Yang-Hui He
2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jiakang Bao ◽  
Omar Foda ◽  
Yang-Hui He ◽  
Edward Hirst ◽  
James Read ◽  
...  

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 $$ \mathcal{N} $$ 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.


1981 ◽  
Vol 51 (1) ◽  
pp. 251-264 ◽  
Author(s):  
Annemarie Schweeger-Hefel

2020 ◽  
Author(s):  
Nikolai Adrianov ◽  
Fedor Pakovich ◽  
Alexander Zvonkin

2017 ◽  
Vol 82 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Amira Karray ◽  
Daniel Derivois ◽  
Lisbeth Brolles ◽  
Iris Wexler Buzaglo

2013 ◽  
Vol 107 (1) ◽  
pp. 76-120 ◽  
Author(s):  
Christophe Eyral ◽  
Mutsuo Oka

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