Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities

Details Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities

2006-10-09

arxiv.org/abs/hep-th/0610080v1

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 7 figures

Scientific paper

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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