波利尼西亚热带雨林的（辛）叶和（5d Higgs）枝
(Symplectic) Leaves and (5d Higgs) Branches in the Poly(go)nesian Tropical Rain Forest
摘要：
我们从广义复曲面多边形（或点图）的实现导出了5维超共形场论或规范理论的希格斯分支的结构。这种方法是由一个双重的，热带曲线分解的$(p,q)$ 5膜网系统。我们定义了一个边着色，它提供了一个分解的广义复曲面多边形到一个精致的Minkowski总和的子多边形，从中我们计算的磁磁。磁引力的库仑分支则与5d希格斯分支相对应。此外，从部分决议，我们确定辛叶的希格斯分支，从而整个叶理结构。在严格复曲面多边形的情况下，这种方法减少到描述变形的卡-丘奇性的闵可夫斯基和。
英文摘要：
We derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the $(p,q)$ 5-brane-web system. We define an edge coloring, which provides a decomposition of the generalized toric polygon into a refined Minkowski sum of sub-polygons, from which we compute the magnetic quiver. The Coulomb branch of the magnetic quiver is then conjecturally identified with the 5d Higgs branch. Furthermore, from partial resolutions, we identify the symplectic leaves of the Higgs branch and thereby the entire foliation structure. In the case of strictly toric polygons, this approach reduces to the description of deformations of the Calabi-Yau singularities in terms of Minkowski sums.
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