論文

本文へのリンクあり
2018年8月13日

A dessin on the base: a description of mutually non-local 7-branes without using branch cuts

Physical Review D
  • Shin Fukuchi
  • ,
  • Naoto Kan
  • ,
  • Shun'ya Mizoguchi
  • ,
  • Hitomi Tashiro

100
12
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.100.126025
出版者・発行元
American Physical Society ({APS})

We consider the special roles of the zero loci of the Weierstrass invariants
$g_2(\tau(z))$, $g_3(\tau(z))$ in F-theory on an elliptic fibration over $P^1$
or a further fibration thereof. They are defined as the zero loci of the
coefficient functions $f(z)$ and $g(z)$ of a Weierstrass equation. They are
thought of as complex co-dimension one objects and correspond to the two kinds
of critical points of a dessin d'enfant of Grothendieck. The $P^1$ base is
divided into several cell regions bounded by some domain walls extending from
these planes and D-branes, on which the imaginary part of the $J$-function
vanishes. This amounts to drawing a dessin with a canonical triangulation. We
show that the dessin provides a new way of keeping track of mutual
non-localness among 7-branes without employing unphysical branch cuts or their
base point. With the dessin we can see that weak- and strong-coupling regions
coexist and are located across an $S$-wall from each other. We also present a
simple method for computing a monodromy matrix for an arbitrary path by tracing
the walls it goes through.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.100.126025
arXiv
http://arxiv.org/abs/arXiv:1808.04135
URL
http://arxiv.org/abs/1808.04135v3
URL
http://arxiv.org/pdf/1808.04135v3 本文へのリンクあり
ID情報
  • DOI : 10.1103/PhysRevD.100.126025
  • ISSN : 2470-0010
  • ISSN : 2470-0029
  • ORCIDのPut Code : 114356139
  • arXiv ID : arXiv:1808.04135

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