Integrability in gauge-gravity correspondence and gluon scattering amplitudes

规范重力对应和胶子散射振幅的可积性

• 批准号: 22740172
• 负责人: SAKAI Kazuhiro
• 金额: $ 1.66万
• 依托单位: Ritsumeikan University (2013)Kyoto University (2011-2012)Keio University (2010)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740172/
• 关键词: 素粒子（理論）; 弦理論; 可積分系; 数理物理学; ゲージ重力対応; ゲージ理論; 素粒子; 素粒子（理論）; 弦理論; 可積分系; 数理物理学; ゲージ重力対応; ゲージ理論; 素粒子

Integrability has become of increasing importance in obtaining analytic, exact results in gauge and string theories. In this research project we clarified several integrable structures in gauge and string theories and made full use of them to obtain analytic results. More specifically, we studied gluon scattering amplitudes at strong coupling in the maximally supersymmetric gauge theory in four dimensions. The gauge-gravity correspondence relates the amplitudes to the areas of certain minimal surfaces. Based on this correspondence we formulated a method of computing a general class of gluon scattering amplitudes by means of two-dimensional conformal field theories. We also studied the E-string theory, which is one of the simplest consistent supersymmetric field theories in six dimensions. We constructed a closed expression for the BPS partition function of the E-string theory toroidally compactified down to four dimensions and elucidated its properties.

在获得量规和字符串理论中的分析，确切的结果方面，集成性变得越来越重要。在该研究项目中，我们阐明了仪表和字符串理论中的几个可集成结构，并充分利用它们来获得分析结果。更具体地说，我们研究了在四个维度的最大超对称仪理论中强耦合的Gluon散射幅度。仪表对应关系将幅度与某些最小表面的区域联系起来。基于这种对应关系，我们制定了一种通过二维保形场理论计算一般类Gluon散射幅度的方法。我们还研究了电子弦理论，该理论是六个维度最简单一致的超对称场理论之一。我们为电子弦理论的BPS分区函数构建了一个封闭的表达式，曲面压缩至四个维度并阐明了其特性。