More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes

Autor: Shin Fukuchi, Naoto Kan, Rinto Kuramochi, Shun'ya Mizoguchi, Hitomi Tashiro
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physics Letters B, Vol 803, Iss , Pp - (2020)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2020.135333
Popis: A “dessin d'enfant” is a graph embedded on a two-dimensional oriented surface named by Grothendieck. Recently we have developed a new way to keep track of non-localness among 7-branes in F-theory on an elliptic fibration over P1 by drawing a triangulated “dessin” on the base. To further demonstrate the usefulness of this method, we provide three examples of its use. We first consider a deformation of the I0⁎ Kodaira fiber. With a dessin, we can immediately find out which pairs of 7-branes are (non-)local and compute their monodromies. We next identify the paths of string(-junction)s on the dessin by solving the mass geodesic equation. By numerically computing their total masses, we find that the Hanany-Witten effect has not occurred in this example. Finally, we consider the orientifold limit in the spectral cover/Higgs bundle approach. We observe the characteristic configuration presenting the cluster sub-structure of an O-plane found previously.
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