Superstring Theory, Gravitational Instantons and Black Hole Physics

超弦理论、引力瞬子和黑洞物理

• 批准号: 1415659
• 负责人: Wafic Sabra
• 金额: $ 1万
• 依托单位: American University of Beirut
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-07-15 至 2017-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1415659&HistoricalAwards=false
• 关键词: Superstring; Theory; Gravitational; Instantons; Black

This award supports the research of Wafic Sabra, from the American University of Beirut (AUB).After the success of the unification of the fundamental particle interactions within the standard model, the most pressing question in theoretical physics has since been the unification of the laws of quantum mechanics with the theory of general relativity, as well as the incorporation of quantum gravity with the other fundamental forces in a unified theory. Superstring theory is the leading candidate for a consistent finite theory unifying quantum gravity with the other forces of nature. The phenomenology derived from superstrings may have relevance to the problems encountered in the study of the black holes, particle physics and cosmology. In recent years, a new picture has emerged pointing to the existence of a fundamental theory, M-theory. Many theories behave very nicely if there is a small parameter, since one can perturbatively expand in this parameter and make sensible predictions. This new fundamental theory behaves like string theory at the perturbative level, but at the nonperturbative level, in which there are no small parameters, it has a rich structure of symmetries connecting perturbative aspects of string theory to nonperturbative states. This project will study gravitational backgrounds in these theories, focusing on black holes in higher numbers of dimensional backgrounds. The interdisciplinary nature of the proposed research will make it of benefit to both physicists and mathematicians working in fields related to string theory and differential geometry. It will also help in the development of the graduate programs in physics and mathematics at AUB, and in introducing students to the frontiers of research, particularly in the various fields of high energy physics. M-theory behaves like string theory at the perturbative level, but at the nonperturbative level has a rich structure of duality symmetries connecting perturbative excitations to solitonic states. A major development is the equivalence between string theory on anti-de Sitter spaces and certain superconformal Yang-Mills gauge theories living on the boundary of these spaces. This equivalence gave more importance to the study of gravitational anti-de Sitter configurations as they provide a tool to the study of quantum gauge field theories important for particle physics. The main focus of Sabra's supported research is: a) The study and the classification of supersymmetric and non-supersymmetric gravitational backgrounds in various spacetime dimensions and in particular the search for black rings in gauged supergravity models. b)The study of gravitational instantons and their relation to integrable models, Einstein--Weyl structures and black holes in higher dimensions as well as the interpretation of Euclidean supergravity solutions in terms of string and M-theory. c) The development of our understanding of the nonperturbative theory underlying string theory, and incorporating this in the study of the phenomenological implications of string theory to gravitational physics, particle physics and cosmology

该奖项支持贝鲁特美国大学（AUB）的Wafic Sabra的研究。在标准模型中基本粒子相互作用的成功之后，理论物理学中最紧迫的问题是量子力学定律与一般相对论理论的统一，以及与其他基本效应的量子级别的统一。 SuperString理论是一致的有限理论，将量子重力与自然力量的其他力量统一。源自超弦的现象学可能与黑洞，粒子物理学和宇宙学研究中遇到的问题有关。近年来，出现了一幅新的图片，指出了基本理论的存在。如果有一个小参数，许多理论的行为非常好，因为人们可以在此参数中扩展并做出明智的预测。 这种新的基本理论在扰动层面上的行为类似于弦理论，但是在非扰动层面上，没有小参数，它具有将字符串理论的扰动方面与非扰动状态相关的对称性的丰富结构。该项目将研究这些理论中的重力背景，重点是较高数量的尺寸背景的黑洞。 拟议的研究的跨学科性质将使它对与弦理论和差异几何相关的领域工作的物理学家和数学家都有好处。它还将有助于在AUB的物理和数学研究生课程中开发，并向学生介绍研究的前沿，尤其是在高能量物理学领域。 M理论在扰动层面上的行为就像弦理论一样，但是在非扰动层面上，具有丰富的双重性对称性结构，将扰动激发与孤子状态联系起来。 一个主要的发展是，在反de保姆空间上的弦理论与某些超级符合的Yang-Mills仪表理论之间存在于这些空间的边界上。这种等效性更为重要，即对重力抗DE保姆的构型的研究提供了一种对量子规范理论的研究，它们对粒子物理很重要。 Sabra支持的研究的主要重点是：a）在各个时空维度中的超对称和非对称重力背景的研究和分类，尤其是在测量超级重力模型中寻找黑环。 b）重力激重的研究及其与综合模型的关系，爱因斯坦 - 韦伊尔结构和黑洞在较高维度上以及用字符串和M理论方面对欧几里得超级溶液的解释。 c）我们对非扰动理论基础理论的理解的发展，并将其纳入弦学理论对引力物理学，粒子物理和宇宙学的现象学意义的研究