权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Study of Non-Perturbative Dynamics of Superstring Theory through Supersymmetric Yang-Mills Theory

通过超对称杨-米尔斯理论研究超弦理论的非微扰动力学

基本信息

批准号：
12640264
负责人：
HATA Hiroyuki
金额：
$ 1.66万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640264/
关键词：
monopole non-commutative space superstring theory string field theory tachyon condensation classical solution anomaly D-brane タキオン BRST対称性 BPS古典解

项目摘要

The main aim of the present research project has been to understand the non-perturbative properties of superstring theory and to give its basic formulation through the analysis of various aspects of supersymmetric Yang-Mills theory. We have obtained rather satisfactory results concerning the analysis of soliton solutions in non-commutative super Yang-Mills theory and its brane interpretation, though there still remains much to be clarified in other planned subjects. However, we have accomplished remarkable results in the analysis of tachyon condensation using String Field Theory, which is a subject not contained in the original plan. The following is a concrete description of our researches in the years 2000-2002:1) Analysis of monopole solution in non-commutative super Yang-Mills theory: We have presented, to second order in the non-commutativity parameter θ, the monopole solution to non-commutative super Yang-Mills theory, and given a brane interpretation to the solution.2) Analysis of tachyon condensation using string field theory: We have shown that the classical solution of string field theory representing the vacuum with tachyon condensation (tachyon vacuum) satisfies, besides the equation of motion, another important requirement of BRST invariance. We have also carried out an analysis of fluctuation around the solution to and obtained results which strongly support the expectation that there is no physical open string states around the tachyon vacuum.3) Study of Vacuum String Field Theory: We have carried out pioneering studies on the problem of whether Vacuum String Field Theory (VSFT), which is a candidate string field theory expanded around the tachyon vacuum, can be related to ordinary open string theory. We have constructed a classical solution representing the perturbative vacuum, analyzed the fluctuation spectra around the solution, and so on, and obtained results supporting the expectation.

本研究项目的主要目的是理解超弦理论的非微扰性质，并通过分析超对称杨-米尔斯理论的各个方面给出其基本公式。我们在非对易超Yang-Mills理论中的孤子解分析及其膜解释方面取得了比较满意的结果，但在其他计划的课题中仍有许多问题有待澄清。然而，我们已经取得了显着的成果，在快子凝聚的分析使用弦场论，这是一个主题，不包括在原来的计划。以下是我们2000-2002年所做的具体工作：1）非对易超Yang-Mills理论的解的分析：我们给出了非对易超Yang-Mills理论在非对易参数θ下的二阶解，并给出了解的膜解释。2）快子凝聚的弦场论分析：我们已经表明，弦场论的经典解代表真空与快子凝聚（快子真空）满足，除了运动方程，另一个重要的要求BRST不变性。我们还对解附近的涨落进行了分析，得到的结果有力地支持了快子真空附近不存在物理开弦态的预期。3）真空弦场论的研究：我们对真空弦场论（VSFT）这一围绕快子真空展开的候选弦场论，与普通的开弦理论有关。我们构造了一个代表微扰真空的经典解，分析了解周围的涨落谱等，得到了支持这一预期的结果。