Guage fields, strings and gravity

规范场、弦和重力

• 批准号: 38358-2007
• 负责人: Semenoff, Gordon
• 金额: $ 5.83万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=450754
• 关键词: Guage; fields; strings; gravity

The most fascinating and important discovery of the superstring duality revolution of the 1990's was a concrete realization of the long-conjectured duality between gauge field theory and string theory. It asserts an exact mapping between maximally supersymmetric gauge theory in four dimensions and string theory in a particular ten-dimensional spacetime geometry. Gauge field theories will forever be an important part of physics. They are the constituents of the `Standard Model' of elementary particles and describe phenomena seen in particle physics experiments at presently accessible energy scales, some to incredible accuracy. That these gauge fields might have an alternative description as string theories is an idea with far-reaching consequences. At a practical level, it could yield new analytical tools which would help to better understand gauge field theories and make quantitative predictions in regimes which are inaccessible to currently known techniques. It has already provided considerable intuition about the behavior of gauge theories in the strong coupling regime, where their non-linearities are large and the usual technique, perturbation theory cannot be applied. This research program will study the implications of the duality betweeen gauge fields and strings, both at a formal level to better understand its structure in the one known explicit example, and at a practical level, to learn how to use it as a quantitative tool for the analysis of realistic gauge theories. Specific projects explore the structure of AdS/CFT using highly symmetric states, the spectra of gauge theory operators using integrability and classical solutions of string theory and studies of matrix quantum mechanics using the techniques of lattice gauge theory.

20世纪90年代超弦对偶性革命中最令人着迷和最重要的发现，是规范场论与弦论之间长期以来被证明的对偶性的具体实现。它断言了四维空间中的最大超对称规范理论与特定十维时空几何中的弦理论之间的精确映射。 规范场理论将永远是物理学的重要组成部分。它们是基本粒子的“标准模型”的组成部分，描述了粒子物理实验中在目前可获得的能量尺度上看到的现象，其中一些具有令人难以置信的准确性。 这些规范场可能有另一种弦理论的描述，这是一个具有深远影响的想法。 在实践层面上，它可以产生新的分析工具，这将有助于更好地理解规范场理论，并在目前已知技术无法达到的制度中进行定量预测。 它已经为规范理论在强耦合区的行为提供了相当直观的认识，在强耦合区，规范理论的非线性很大，通常的技术，微扰论不能应用。 本研究计划将研究规范场和弦之间的对偶性的含义，无论是在形式层面上，以更好地理解其结构在一个已知的明确的例子，并在实践层面上，学习如何使用它作为定量工具的现实规范理论的分析。 具体的项目探索结构的AdS/CFT使用高度对称的状态，规范理论运营商的频谱使用可积性和弦理论的经典解决方案和矩阵量子力学的研究使用格点规范理论的技术。