ID: 1905.10773

Grothendieck's Dessins d'Enfants in a Web of Dualities

May 26, 2019

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Jian Zhou
High Energy Physics - Theory
Mathematics
Nonlinear Sciences
Mathematical Physics
Exactly Solvable and Integra...

In this paper we show that counting Grothendieck's dessins d'enfants is universal in the sense that some other enumerative problems are either special cases or directly related to it. Such results provide concrete examples that support a proposal made in the paper to study various dualities from the point of view of group actions on the moduli space of theories. Connections to differential equations of hypergeometric type can be made transparent from this approach, suggesting a connection to mirror symmetry.

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