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Dessins d’enfants, Seiberg-Witten curves and conformal blocks

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 co...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/jhep05(2021)065

Authors


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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Oxford college:
Pembroke College
Role:
Author
Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2021
Issue:
5
Article number:
65
Publication date:
2021-05-10
Acceptance date:
2021-04-20
DOI:
EISSN:
1029-8479
ISSN:
1126-6708
Language:
English
Keywords:
Pubs id:
1176629
Local pid:
pubs:1176629
Deposit date:
2021-05-17

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