Construction of quantum gravity theory from superstring theory

从超弦理论构建量子引力理论

• 批准号: 16340067
• 负责人: YONEYA Tamiaki
• 金额: $ 7.48万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2007
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340067/
• 关键词: Superstring theory; Quantum gravity; General Relativity; Gauge theory; Quantum field theory; AdS; CFT correspondence; Relativistic strings; Unified theory; AdS; 統一場理論; M理論; 弦模型; 双対性; holographic principle; BMN極限; タキオン凝縮

(1)Yoneya investigated the space-time formulation of the AdS/CFT correspondence, in particular, in the so-called BMN limit. By studying the large R-charge limit of the previously conjectured relation known as the GKPW relation between the gauge-theory con-elation functions and the bulk partition functions of supergravity/string theory, he proposed a concrete relation between the 3-point vertex of light-cone string field theory and the gauge theory 3-point functions for the first time. He showed that the proposed relation is valid at least to first non-trivial approximations with respect to the string coupling constant for wide lass of non BPS operators. He also applied the same method to investigate 1/2 BPS correlators and Wilson loop expectation values with local operator insertions. As a new project, he initiated an exploration toward a quantum field theory of D-branes. After some preliminary study of the 1/2 BPS operators, he proposed a new framework for achieving this in the case o … More f D0-branes.(2)Kazama investigated the pure spinor (PS) formalism, a new promising super-covariant formulation of the superstring theory, and obtained the following results. (i) He proposed a novel extension of the PS formulation and showed its quantum equivalence with the existing formalisms. (ii)He constructed for the first time the fundamental worldsheet action from which the PS formalism can be derived from the first principle. He also succeeded in formulating the superstring theory in the plane-wave background with the Ramond-Ramond flux as a quantum conformal field theory.(3)Kato proposed new covariant gauges in string field theory, which correspond to a generalization of the covariant gauges in the ordinary gauge field theory including Landau gauge. Applying the gauge to the tachyon condensation, he obtained a smooth potential without a singularity which was gauge-artifact. Kato also studied a realization of lattice supersymmetry where he identified the symmetry of staggered fermion and showed the No-Go theorem for the Leibniz rule of the finite difference.(4) Hashimoto clarified the dynamics of D-branes which are non-perturbative objects in superstring theory. Our investigation has been mostly dedicated to relations between the D-branes and solitons in field theories. He succeded in exhibiting various properties of solitons. For example, he obtained nontrivial dynamics of instantons in Yang-Mills theories, monopoles and vortices, which had been very difficult to analyze in ordinary methods of field theories. In addition, we studied low energy dynamics of QCD using the D-brane method. Less

（1）米谷研究了AdS/CFT对应的时空表述，特别是在所谓的BMN极限中。通过研究超引力/弦理论的规范理论共形函数与体配分函数之间的GKPW关系的大R荷极限，他首次提出了光锥弦场论的三点顶点与规范理论三点函数之间的具体关系。他表明，提出的关系是有效的，至少第一个非平凡的近似相对于字符串耦合常数宽类非BPS运营商。他还用同样的方法研究了1/2 BPS算子和威尔逊回路期望值与局部算子插入。作为一个新的项目，他开始了对D-膜量子场论的探索。在对1/2 BPS运营商进行了一些初步研究之后，他提出了一个新的框架，以便在以下情况下实现这一目标： ...更多信息 f D 0-膜。（2）Kazama研究了超弦理论的一种新的超协变形式--纯旋量（PS）形式，得到了如下结果。(i)他提出了一个新的扩展PS制定和显示其量子等价性与现有的形式主义。（ii）他首次构建了基本的世界面作用，由此可以从第一原理导出PS形式主义。他还成功地用Ramond-Ramond通量作为量子共形场论，在平面波背景下建立了超弦理论。（3）Kato在弦场论中提出了新的协变规范，它对应于包括朗道规范在内的普通规范场论中的协变规范的推广。将规范应用于快子凝聚，他得到了一个光滑的势，没有奇异性，这是规范伪像。加藤还研究了实现晶格超对称，他确定了对称交错费米子，并显示了不去定理的莱布尼茨规则的有限差分。(4)桥本澄清了D膜的动力学，D膜是超弦理论中的非微扰对象。我们的研究主要集中在场论中D-膜和孤子之间的关系。他成功地展示了孤子的各种性质。例如，他获得了杨-米尔斯理论中的瞬子、单极子和涡旋的非平凡动力学，这在场论的普通方法中是很难分析的。此外，我们还利用D膜方法研究了QCD的低能动力学。少

项目成果

Origin of Pure Spinor Superstring

纯旋量超弦的起源

• 发表时间: 2005
• 期刊: JHEP 0505
• 作者: Y.Aisaka;Y.Kazama
• 通讯作者: Y.Kazama

Birth of closed strings and death of open strings during tachyon condensation

快子凝聚过程中闭弦的诞生和开弦的消亡

• 发表时间: 2005
• 期刊: Mod. Phys Lett. A 20
• 作者: K.Hashimoto;P.M.Ho;J.E.Wang
• 通讯作者: J.E.Wang

Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence

解析 AdS/CFT 对应平面波极限中的全息

• 发表时间: 2005
• 期刊: Nuclear Physics B711
• 作者: S.Dobasi;T.Yoneya
• 通讯作者: T.Yoneya

PP-wave holography for Dp-brane backgrounds

Dp 膜背景的 PP 波全息术

• 发表时间: 2004
• 期刊: Nucl. Phys. 678
• 作者: K.Itoh;M.Kato;M.Murata;H.Swanaka;H.So;S.Dobashi;S.Dobashi;K.Hashimoto;M. Asano and T. Yoneya
• 通讯作者: M. Asano and T. Yoneya

Attempt towards field theory of DO branes

DO膜场论的尝试

• 发表时间: 2007
• 作者: K. Hashimoto;S. Terashima;Y.Aisaka;K.Hashimoto;K.Hashimoto;橋本幸士;米谷民明;Y.Kazama;米谷民明;T. Yoneya;T. Yoneya;T. Yoneya
• 通讯作者: T. Yoneya