Construction of quantum gravity theory from superstring theory

(1)Yoneya研究了AdS/CFT对应的时空形式，特别是在所谓的BMN极限下。他通过研究先前推测的超重力/弦论的规范论配分函数与体积配分函数之间的GKPW关系的大r荷极限，首次提出了光锥弦场理论的3点顶点与规范论3点函数之间的具体关系。他证明了所提出的关系至少对广义非BPS算子的弦耦合常数的第一次非平凡近似是有效的。他还应用了相同的方法来研究1/2 BPS相关器和带有局部操作符插入的Wilson循环期望值。作为一个新项目，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来实现这一目标。(2)Kazama研究了纯旋量（PS）形式主义，这是超弦理论的一个新的有前途的超协变表述，得到了以下结果。(i)他提出了PS公式的新推广，并证明了其与现有形式的量子等效性。（ii）他首次构建了基本的世界观作用，从这个作用可以从第一原理推导出PS的形式主义。他还成功地在平面波背景下建立了超弦理论，并将拉蒙-拉蒙通量作为量子共形场理论。(3)加藤在弦场论中提出了新的协变规，这是对包括朗道规在内的普通规场论中协变规的推广。将量规应用于速子凝聚，他得到了一个没有奇点的平滑势，奇点是量规伪影。加藤还研究了晶格超对称的实现，在那里他确定了交错费米子的对称性，并证明了莱布尼茨有限差分规则的不走定理。(4) Hashimoto澄清了超弦理论中非摄动物体d膜的动力学。我们的研究主要集中在场论中d膜与孤子之间的关系。他成功地展示了孤子的各种性质。例如，他在杨-米尔斯理论、单极子和涡旋中得到了非平凡的瞬子动力学，这在一般场论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

(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