Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities

Eleonora Dell'Aquila; Freddy Cachazo; Sujay K. Ashok

Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities

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arxiv hep-th/0610080 v1 pith:5MA2L3AN submitted 2006-10-09 hep-th

Sujay K. Ashok , Freddy Cachazo , Eleonora Dell'Aquila This is my paper · ORCID

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keywords differentialsargyres-douglasstrebelfindingintegrallengthsrelationseiberg-witten

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abstract

Strebel differentials are a special class of quadratic differentials with several applications in string theory. In this note we show that finding Strebel differentials with integral lengths is equivalent to finding generalized Argyres-Douglas singularities in the Coulomb moduli space of a U(N) $\N=2$ gauge theory with massive flavours. Using this relation, we find an efficient technique to solve the problem of factorizing the Seiberg-Witten curve at the Argyres-Douglas singularity. We also comment upon a relation between more general Seiberg-Witten curves and Belyi maps.

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Strings from Feynman Diagrams
hep-th 2024-12 conditional novelty 6.0 of 10

Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.

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