Study of gauge/string duality based on integrability

基于可积性的规范/弦对偶性研究

• 批准号: 21740158
• 负责人: SATOH Yuji
• 金额: $ 1.66万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740158/
• 关键词: 素粒子論; 弦理論; ゲージ理論; 数理物理; 可解模型; 超対称性; ゲージ理論/重力理論双対性; 共形場理論; 熱力学的ベーテ仮説

The gauge/string duality states that certain gauge theories and theories of string/gravity are just different descriptions of the same theories. We studied this duality based on the integrability behind it. Especially, we found that gluon scattering amplitudes of a supersymmetric gauge theory at strong coupling are obtained through thermodynamic Bethe ansatz equations of a class of two-dimensional integrable models called Homogenous sine-Gordon models, which give finite size effects of two-dimensional integrable models. Based on this fact, we also showed that the amplitudes are analytically evaluated around certain momentum configurations by the two-dimensional conformal perturbation theory.

量规/弦二重性指出，某些仪表/重力理论只是对同一理论的不同描述。我们根据其背后的可集成性研究了这种双重性。尤其是，我们发现，在强耦合处的超对称量规理论的Gluon散射幅度是通过热力学耦合的ANSATZ方程获得的，该类别的二维集成模型称为同型正弦模型，这些模型允许二维集成模型的有限尺寸效应。基于这一事实，我们还表明，通过二维形式的共形扰动理论对某些动量构型进行了分析评估幅度。

项目成果

Dark matter in E6 Grand unification

E6大统一中的暗物质

• DOI: 10.1007/jhep02
• 发表时间: 2018
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: J. Schwichtenberg

Gauge/string duality and thermodynamic Bethe ansatz equations

规范/弦对偶性和热力学 Bethe ansatz 方程

• 发表时间: 2011
• 期刊: RIMS Kokyuroku Bessatsu
• 作者: H. Shimoyama;M. Matsuo;Yuji Satoh
• 通讯作者: Yuji Satoh

g-functions and gluon scattering amplitudes at strong coupling

强耦合下的 g 函数和胶子散射振幅

• 发表时间: 2011
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Yasuyuki Hatsuda;Katsushi Ito;Kazuhiro Sakai and Yuji Satoh
• 通讯作者: Kazuhiro Sakai and Yuji Satoh

Thermodynamic Bethe ansatz and analytic expansions of gluon scattering amplitudes at strong coupling

强耦合下胶子散射振幅的热力学 Bethe ansatz 和解析展开式

• 发表时间: 2011
• 作者: Y. Maezawa;T. Umeda;S. Aoki;S. Ejiri;T. Hatsuda;K. Kanaya and H. Ohno;南部保貞;J. Beringer;村山斉;南部保貞;Yuji Satoh
• 通讯作者: Yuji Satoh

Double-Higgs boson production in the high-energy limit: planar master integrals

高能极限下的双希格斯玻色子产生：平面主积分

• DOI: 10.1007/jhep03
• 发表时间: 2018
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: J. Davies;G. Mishima;M. Steinhauser;D. Wellmann
• 通讯作者: D. Wellmann