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Hidden selection rules, M5-instantons and fluxes in F-theory

机译:F理论中的隐藏选择规则,M5实例和通量

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摘要

We introduce a new approach to investigate the selection rules governing the contributions of fluxed M5-instantons to the F-theory four-dimensional effective action, with emphasis on the generation of charged matter F-terms. The structure of such couplings is unraveled by exploiting the perturbative and non-perturbative homological relations, introduced in our companion paper [1], which encode the interplay between the self-dual 3-form flux on the M5-brane, the background 4-form flux and certain fibral curves. The latter are wrapped by time-like M2-branes representing matter insertions in the instanton path integral. In particular, we clarify how fluxed M5-instantons detect the presence of geometrically massive U(1)s which are responsible for ‘hidden’ selection rules. We discuss how for non-generic embeddings the M5-instanton can probe ‘locally massless’ U(1) symmetries if the rank of its Mordell-Weil group is enhanced compared to that of the bulk. As a phenomenological off-spring we propose a new type of non-perturbative corrections to Yukawa couplings which may change the rank of the Yukawa matrix. Along the way, we also gain new insights into the structure of massive U(1) gauge fluxes in the stable degeneration limit
机译:我们引入一种新方法来研究控制通量M5实例对F理论四维有效动作的贡献的选择规则,重点是带电物质F项的生成。利用我们的伴随论文[1]中介绍的微扰和非微扰同源关系,可以解开此类偶合的结构,该关系对M5-膜上的自对偶3形通量,背景4和4之间的相互作用进行编码。形成通量和某些纤维曲线。后者被类似M2的时间包裹,它们代表物质在瞬时路径积分中的插入。特别是,我们阐明了通量为M5的实例如何检测几何大的U(1)的存在,这些U(1)负责“隐藏”的选择规则。我们讨论了如果将其Mordell-Weil组的等级提高到非本体嵌入,则M5-instanton如何探测“局部无质量” U(1)对称性。作为现象学的后代,我们提出了一种新型的对Yukawa耦合进行非扰动校正,这可能会改变Yukawa矩阵的秩。一路走来,我们还获得了对稳定退化极限下大量U(1)规范通量的结构的新见解。

著录项

  • 来源
    《Journal of High Energy Physics》 |2015年第10期|1-50|共50页
  • 作者

    Luca Martucci; Timo Weigand;

  • 作者单位

    1.Dipartimento di Fisica e Astronomia ‘Galileo Galilei’ Università di Padova I.N.F.N. Sezione di Padova via Marzolo 8 I-35131 Padova Italy;

    2.Institut für Theoretische Physik Ruprecht-Karls-Universität Philosophenweg 19 69120 Heidelberg Germany;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    F-Theory; D-branes;

    机译:F理论;D脑;

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