More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes
| Autor: | Naoto Kan, Hitomi Tashiro, Rinto Kuramochi, Shin Fukuchi, Shun'ya Mizoguchi |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Pure mathematics Geodesic 010308 nuclear & particles physics Fibration FOS: Physical sciences Non local 01 natural sciences Graph lcsh:QC1-999 Higgs bundle High Energy Physics - Theory (hep-th) Orientifold 0103 physical sciences Brane cosmology 010306 general physics lcsh:Physics |
| Zdroj: | Physics Letters B, Vol 803, Iss, Pp-(2020) Physics Letters |
| 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 $P^1$ 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 $I_0^*$ 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. 16 pages, 9 figures |
| Databáze: | OpenAIRE |
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