无限距离上的非极小椭圆三折体II:渐近物理学

IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy
Rafael Álvarez-García, Seung-Joo Lee, Timo Weigand
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引用次数: 0

摘要

从量子引力的一般思想出发,对六维f理论紧化的复结构模空间中的无限距离极限进行了解释。我们关注的极限来自于椭圆光纤在Hirzebruch曲面基底曲线上的非极小奇点,这种奇点不允许有渐变分辨率。在f理论中,这种退化发生在非摄动膜模空间的无限方向上。这个项目[1]的第一部分详细介绍了一个放大过程,它产生了一个内部空间,由原木Calabi-Yau三层沿着边界粘合在一起组成。我们对零属单无限距离极限的构型进行几何分类。重点讨论了余维为0和1的奇异纤维的结构。作为我们的主要结果,我们将这些退化的中心纤维解释为具有六维缺陷的去核化极限的端点。这些结论依靠绝热极限从消失循环的结构中获得渐近无质量状态的信息。在可用的情况下,我们还将我们的分析与异质对偶描述进行了比较。我们的发现与量子引力的普遍预期一致,并为“涌现弦猜想”提供了进一步的证据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-minimal elliptic threefolds at infinite distance II: asymptotic physics

We interpret infinite-distance limits in the complex structure moduli space of F-theory compactifications to six dimensions in the light of general ideas in quantum gravity. The limits we focus on arise from non-minimal singularities in the elliptic fiber over curves in a Hirzebruch surface base, which do not admit a crepant resolution. Such degenerations take place along infinite directions in the non-perturbative brane moduli space in F-theory. A blow-up procedure, detailed generally in Part I of this project [1], gives rise to an internal space consisting of a union of log Calabi-Yau threefolds glued together along their boundaries. We geometrically classify the resulting configurations for genus-zero single infinite-distance limits. Special emphasis is put on the structure of singular fibers in codimension zero and one. As our main result, we interpret the central fiber of these degenerations as endpoints of a decompactification limit with six-dimensional defects. The conclusions rely on an adiabatic limit to gain information on the asymptotically massless states from the structure of vanishing cycles. We also compare our analysis to the heterotic dual description where available. Our findings are in agreement with general expectations from quantum gravity and provide further evidence for the Emergent String Conjecture.

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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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