The 5d tangram: brane webs, 7-branes and primitive T-cones

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Ignacio Carreño Bolla, Sebastián Franco, Diego Rodríguez-Gómez
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引用次数: 0

Abstract

Two highly successful approaches to constructing 5d SCFTs are geometric engineering using M-theory on a Calabi-Yau 3-fold and the use of 5-brane webs suspended from 7-branes in Type IIB string theory. In the brane web realization, the extended Coulomb branch of the 5d SCFT can be studied by opening the web using rigid triple intersections of branes — i.e. configurations with no deformations. In this paper, we argue that the geometric engineering counterpart of these rigid triple intersections are the T-cones introduced in the mathematical literature. We extend the class of rigid brane webs to include locked superpositions of the minimal ones. These rigid brane webs serve as fundamental building blocks for supersymmetrically tessellating Generalized Toric Polygons (GTPs) from first principles. Interestingly, we find that the extended Coulomb branch generally exhibits a structure consisting of multiple cones intersecting at a single point. Hanany-Witten (HW) transitions in the web have been conjectured to correspond geometrically to flat fibrations over a line, where the central and generic fibers represent the geometries dual to the webs before and after the transition. We demonstrate this explicitly in an example, showing that for GTPs reducing to standard toric diagrams, the HW transition corresponds to a deformation of the BPS quiver that we map to the geometric deformation.

5d七巧图:膜网,7膜和原始t锥
构建5d scft的两种非常成功的方法是在Calabi-Yau三倍上使用m理论的几何工程和在IIB型弦理论中使用悬挂在7膜上的5膜网。在膜腹板实现中,5d SCFT的扩展库仑分支可以通过使用膜的刚性三重相交(即无变形的构型)打开腹板来研究。在本文中,我们认为这些刚性三交的几何工程对应物是数学文献中引入的t锥。我们扩展了刚性膜网的类别,使其包括最小膜网的锁定叠加。从第一性原理出发,这些刚性膜网是超对称镶嵌广义环面多边形(GTPs)的基本构件。有趣的是,我们发现扩展的库仑分支通常呈现出由多个锥体在一点相交组成的结构。汉尼-威滕(Hanany-Witten, HW)过渡被推测为在几何上对应于一条线上的扁平纤维,其中中心纤维和一般纤维代表过渡前后的几何形状。我们在一个例子中明确地证明了这一点,表明对于gtp减少到标准环形图,HW跃迁对应于我们映射到几何变形的BPS颤振的变形。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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