U.S.-Japan Cooperative Science: String Field Theory and String Geometry

该奖项支持洛杉矶南加州大学的Itzhak Bars教授、加州理工学院的Hirosi Ooguri教授和日本东京大学的Tohru Eguchi教授之间为期三年的合作研究项目。他们将从事弦场论和弦几何的研究。弦理论是当前基础理论粒子物理学研究的中心焦点。该活动主要集中在弦理论的三个基本方面，即弦场论（SFT），弦理论的几何和拓扑方面，以及AdS/CFT对应。在弦场理论方面，提出利用SFt的Moyal Star公式来构建超对称理论，发展非微扰计算技术，以帮助估计真正的真空状态，并将弦理论与低能物理和宇宙学联系起来。弦理论中真实真空状态的发现是这一研究领域中最相关的开放问题之一。此外，弦理论与低能物理学和宇宙学的联系是检验弦理论预测的一个重要点。本文还建议继续当前拓扑弦理论的应用研究，以理解Calabi-Yau流形上超弦紧化的微扰和非微扰方面，以及作为这些紧化的极限而产生的超对称Yang-Mills理论。这些思想具有重要的意义，作为超势的引力修正的计算，这在规范理论中以一种新的方式实现，导致一个有趣的洛伦兹违反光子-引力子耦合，并可能产生天体物理后果。此外，在数学中也有非常重要的应用。研究的第三个方面涉及AdS/CFT对应，这是近年来弦理论的核心问题之一。这个活动对于提高对弦/M理论的认识和理解非常重要。该项目汇集了三个具有互补专业知识和研究能力的实验室的努力。研究结果将影响弦理论、粒子物理和宇宙学等领域。拟议活动的预期更广泛的影响将在非交换几何、群论和几何的数学领域。通过思想和技术的交流，该项目将扩大我们的基础知识基础，促进国际了解与合作。该项目包括大量博士后和研究生的参与。研究结果将在科学会议和科学期刊上传播。

OISE-0403366BarsThis award supports a three-year collaborative research project between Professor Itzhak Bars at the University of Southern California in Los Angeles and Professor Hirosi Ooguri of the California Institute of Technology and Professor Tohru Eguchi at the University of Tokyo in Japan. They will be undertaking research on string field theory and string geometry. String theory is the central focus of most current effort in fundamental theoretical particle physics. The proposed activity focuses on three essential aspects of string theory, i.e. string field theory (SFT), geometrical and topological aspects of string theory, and the AdS/CFT correspondence. Concerning string field theory, it is proposed to use the Moyal Star Formulation of SFt to construct the supersymmetric theory and develop non-perturbative computational techniques that would help to estimate the true vacuum state and connect the string theory to low energy physics and cosmology. The finding of the true vacuum state in string theory is one of the most relevant open questions in this area of research. In addition, the connection of string theory to low energy physics and cosmology is an essential point to test the predictions of string theory. It is also proposed to continue the current research on applications of topogical string theory to understand perturbative and non-perturbative aspects of superstring compactifications on Calabi-Yau manifolds as well as of supersymmetric Yang-Mills theories arising as limits of these compactifications. These ideas have important implications, as the computation of gravitational corrections to the superpotentials, which are realized in the gauge theory in a novel fashion, leading to an interesting Lorentz violating photon-graviton coupling, with possible astrophysical consequences. In addition, there are very important applications in mathematics. The third aspect of the research involves the AdS/CFT correspondence, which has been one of the central issues of string theory in the last years. This activity is very important to advancing knowledge and understanding in string/M theory. This project brings together the efforts of three laboratories that have complementary expertise and research capabilities. Results of the research will impact the areas of string theory, particle physics and cosmology. The expected broader impact of the proposed activities would be in mathematical areas of non-commutative geometry, group theory, and geometry. Through the exchange of ideas and technology, this project will broaden our base of basic knowledge and promote international understanding and cooperation. The project includes the participation of a large number of postdocs and graduate students. Results of the research will be disseminated at scientific meetings and in scientific journals.