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Geometrical Approaches to Particle Phenomenology: from String Compactification to Supersymmetric Gauge Theories

粒子现象学的几何方法：从弦紧化到超对称规范理论

基本信息

批准号：
PP/E006159/2
负责人：
Yang-Hui He
金额：
$ 28.66万
依托单位：
City, University of London
依托单位国家：
英国
项目类别：
Fellowship
财政年份：
2010
资助国家：
英国
起止时间：
2010 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=PP%2FE006159%2F2
关键词：
Geometrical Approaches Particle Phenomenology String

项目摘要

The eyes of the physics community are turning toward Geneva. In about a year or, the largest particle accelerator and indeed the largest machine known to man, will be turned on. Its purpose, is to smash particles at such a speed and energy that we would be taking a glimpse at the sub-atomic world in a hitherto unfathomed clarity. Data will stream in at an alarming rate. Are we prepared? In a way, we have been preparing for two decades. Since a golden era of particle physics in the 60's nad 70's, what is known as the Standard Model (SM) has been measured and tested to breathtaking accuracy in its description of the microcosm of elementary particles. However, there is a catch. The SM has a number of arbitrary parameters which hint at a more natural, unified theory. More seriously, the SM, in all its glory, has encountered uncurable problems in being compatible with the theory of gravity, the force responsible for the macrocosmic world. Is there a unified theory? Albert Einstein, with prophetic vision, had spent the last of his years trying desperately to find this theory. In comes String Theory. By the mid-80's it was realised that this theory, constituting a fundamental paradigm shift in understanding physics, was a natural unification of gravity with the SM, of the large-scale with the small-scale. It proposes that all particles are different vibration modes of tiny strings, different notes, if you will, of a cosmic symphony. In this symphony, all forces, all interactions, all particles, and indeed all space and time, harmoniously unify. Again, there is a catch. The theory only makes sense in 10 dimensions, as opposed to the three plus one (for time) with which we are familiar. Moreover, the strings are so small that we may never be able to directly detect them. My research is on where the missing 6 dimensions are (after all, 10 minus 4 is equal to 6), what are their properties, and, indeed, how they determine the world we see, assuming that string theory were to be the unified theory of everything. These extra dimensions curl up in specific geometric ways and I have been involved in applying the cutting-edge results from the mathematicians, from the higher-dimensional geometers, to constructing theories which resemble (or, hopefully, exactly reproduce) the SM. The theories which we produce, from these 6-dimensional spaces, all have a special property which is yet to be observed. This is called supersymmetry. It is a proposal that every elementary particle we have thus far seen, comes with a 'super'-partner yet to be been. I have been studying how to obtain a supersymmetric version of the SM from string theory and have had some success. Earlier this year, my collaborators and I have found a special 6-dimensional geometry which gives just the right particles! We know that such geometry is rare since of the thousands of models constructed from string theory and of the infinite number of possibilities for the 6-dimensional space, this is the only one that has exactly the right particles, no more and no less. There remains much to be done. We must work out the details of this model and especially ascertain how special our geometry is and whether there are other possibilities. A key goal of the machine at Geneva is to test signatures of supersymmetry. Checking our model against the influx of data is of vital importance. The Theoretical Physics Department at Oxford is a unique place, in that it has some of the founding members who initiated this study of trying to bring string theory to produce the SM interaction of particles, and in that it neighbours the Mathematical Institute, which is a world center for geometry. With these members of both departments I am currently collaborating. The dynamic interaction is precisely geared to my using the latest advanced in geometry to answer perhaps most pressing issue of particle physics, in light of the Geneva data: 'how does string theory produce the SM?'

物理界的目光正转向日内瓦。在大约一年左右的时间里，最大的粒子加速器，实际上是人类已知的最大的机器，将会启动。它的目的是以这样的速度和能量粉碎粒子，使我们能够以迄今为止无法理解的清晰度瞥见亚原子世界。数据将以惊人的速度涌入。我们准备好了吗？在某种程度上，我们已经准备了20年。自从六七十年代粒子物理学的黄金时代以来，标准模型（SM）在描述基本粒子的微观世界方面得到了惊人的精确测量和测试。然而，这里有一个陷阱。SM有许多任意的参数，这些参数暗示了一个更自然的统一理论。更严重的是，SM，在它所有的荣耀中，在与引力理论兼容方面遇到了无法治愈的问题，引力是负责宏观世界的力量。有统一的理论吗？阿尔伯特·爱因斯坦，一个具有远见卓识的人，在他生命的最后几年里一直在拼命地寻找这个理论。弦理论出现了。到80年代中期，人们意识到，这个理论构成了理解物理学的一个基本范式转变，是引力与SM、大尺度与小尺度的自然统一。它提出，所有粒子都是微小弦的不同振动模式，是宇宙交响乐的不同音符。在这首交响乐中，所有的力，所有的相互作用，所有的粒子，甚至所有的空间和时间，都和谐地统一起来。这里又有一个陷阱。这个理论只在10个维度上有意义，而不是我们所熟悉的3加1（时间）。此外，弦是如此之小，我们可能永远无法直接探测到它们。我的研究是关于缺失的6个维度在哪里（毕竟，10减4等于6），它们的性质是什么，以及它们是如何决定我们所看到的世界的，假设弦理论是万物的统一理论。这些额外的维度以特定的几何方式卷曲，我参与了应用数学家和高维几何学家的前沿成果，来构建类似于（或者，希望能完全复制）SM的理论。我们从这些六维空间中产生的理论，都有一种尚未被观察到的特殊性质。这被称为超对称。这是一个我们迄今为止看到的每一个基本粒子都有一个“超级”伴侣的提议。我一直在研究如何从弦理论中获得SM的超对称版本，并取得了一些成功。今年早些时候，我和我的合作者发现了一种特殊的6维几何结构，它能产生正确的粒子！我们知道，这样的几何结构是罕见的，因为在弦理论构建的数千个模型中，在6维空间的无限可能中，这是唯一一个拥有正确粒子的模型，不多也不少。还有许多工作要做。我们必须计算出这个模型的细节，特别是要确定我们的几何结构有多特殊，以及是否有其他的可能性。日内瓦的这台机器的一个关键目标是测试超对称的特征。根据大量涌入的数据检验我们的模型是至关重要的。牛津大学的理论物理系是一个独特的地方，因为它有一些创始成员，他们发起了这项研究，试图用弦理论来产生粒子的SM相互作用，而且它毗邻数学研究所，数学研究所是世界几何中心。我目前正在与这两个部门的成员合作。动态相互作用正是为了让我用最新的几何学来回答粒子物理学中最紧迫的问题，根据日内瓦的数据：“弦理论是如何产生SM的？”