Unified theories of elementary particles based on supersymmetric string models

基于超对称弦模型的基本粒子统一理论

• 批准号: 61540200
• 负责人: SAKAI Norisuke
• 金额: $ 0.7万
• 依托单位: Tokyo Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1986
• 资助国家: 日本
• 起止时间: 1986 至 1987
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-61540200/
• 关键词: Superstring; Unified theory; Hawking radiation; Supersymmetry; Quantum gravity; Effective interaction; Conformal invariance; モジュラー形式

We have investigated various problems in constructing unified theories of elementary particles based on supersymmetric string models.Supersymmetry was proposed to solve the gauge hierarchy problem in grand unified theories. In order to include gravity into the unified theory, superstring theories are most promising. We have examined the so-called Hawking radiation in string theories. More concretely, we put strings in a strong uniform gravitational field and observed that there is an upper limit above which the gravitational field cannot be made stronger because of violent particle production in the strong gravitational field.At low energies, superstring theories look like a system of supersymmetric Yang-Mills fields coupled to supergravity fields with systematic corrections in powers of the slope parameter and the string loop expansion parameter. We have explicitly worked out the one-loop correction (torus topology) to the effective Lagrangian in the case of heterotic string as well as type II superstring.

我们研究了在超对称弦模型基础上建立基本粒子统一理论的各种问题。超对称被用来解决大统一理论中的规范层次问题。为了将引力纳入统一理论，超弦理论是最有前途的。我们研究了弦理论中的所谓霍金辐射。更具体地说，我们把弦放在一个强均匀引力场中，观察到在强引力场中存在一个上限，在这个上限上，由于强烈的粒子产生，引力场无法变得更强。在低能量下，超弦理论看起来就像一个超对称的杨-米尔场系统，耦合到超重力场，系统地修正了斜率参数和弦环展开参数的幂。在杂化弦和II型超弦的情况下，我们明确地计算了有效拉格朗日量的单圈修正(环面拓扑)。

项目成果

N.Sakai: Essays in Honor of the 60th Birthday of Professor Yoshio Yamaguchi.

N.Sakai：纪念山口义夫教授 60 岁生日的论文集。

N.Sakai and Y,Tanii: Nucl.Phys.B287. 457-476 (1987)

N.Sakai 和 Y,Tanii：Nucl.Phys.B287。

H,Ooguri and N,Sakai: Phys.Lett.B197. 109-114 (1987)

H，Ooguri 和 N，Sakai：Phys.Lett.B197。

N. Sakai: "Hawking Radiation in String Theories" Particles and Nuclei (World Scientific, 1986).

N. Sakai：“弦理论中的霍金辐射”粒子和原子核（世界科学，1986 年）。

M. Abe, H. Kubota and N. Sakai: "Loop Corrections to the Heterotic String Effective Lagrangian" Phys. Lett.in press.

M. Abe、H. Kubota 和 N. Sakai：“杂种弦有效拉格朗日的循环修正” Phys。