Research on time-dependent solutions and application to cosmology in superstring theories

我们已经开展了与量子引力及其后果有关的研究，这是基本粒子物理学和引力中最大的问题之一。由于超弦是这种理论最有希望的候选者，它是在更高的维度中定义的，为了对我们的世界给出一个现实的描述，额外的维度必须被紧致化。在本研究中，我们系统地研究了含时暴胀解，得到了低能有效超弦理论中宇宙的真实模型，并阐明了用超对称含时暴胀解量子力学描述大爆炸奇点的可能性。我们还阐明了与超弦有关的高维黑洞的一些性质。我们还研究了这些结果在宇宙学中的物理应用。我们的结果在澄清粒子物理学基本理论和宇宙学之间的相互作用方面是非常有用的。我们的混凝土资源 ...更多信息 结果如下：1.作为超弦的一种有效理论，我们在超引力中系统地得到了一些有趣的宇宙学解。这些解阐明了解释早期宇宙膨胀以及当前加速膨胀的可能性。超对称解是一种罕见的可以研究其量子性质的体系。我们在超引力中构造了这样的解，并证明它们可以用来描述早期宇宙中的大爆炸奇点。我们还系统地研究了超对称D2-膜系统，阐明了它们的物理性质.众所周知，我们宇宙的大部分能量都是由暗物质和暗能量组成的。我们指出它们之间的相互作用是自然的，并在其上得到了观测的束缚.我们还得到了超弦在QCD中的禁闭和黑洞熵-面积关系的普适性的一些有趣的新结果.少

We have carried out research related to quantum gravity and its consequences, which is one of the greatest problems in elementary particle physics and gravity. Since the most promising candidate for such a theory, the superstring, is defined in higher dimensions, extra dimensions must be compactified in order to give a realistic description of our world. In this research, we have investigated time-dependent inflationary solutions systematically to obtain realistic models for our universe in the low-energy effective theory of superstring, and clarified the possibility of describing big-bang singularity quantum mechanically by using supersymmetric time-dependent solutions. We have also clarified some properties of higher-dimensional black holes related to superstring. We have also studied physical applications of these results to cosmology. Our results turn out to be very useful in clarifying the interplay between the fundamental theory of particle physics and cosmology. Our concrete res … More ults are as follows.1. We obtained interesting cosmological solutions systematically in the supergravity as an effective theory of superstring with higher order quantum corrections. These solutions clarify the possibility of explaining inflation at the early universe as well as current accelerating expansion.2. Supersymmetric solutions are one of the rare system in which we can study their quantum properties. We constructed such siolutions in supergravity and showed that they can be used to describe big-bang singularity in the early universe. We have also studied supersymmetric D2-brane system systematically and clarified their physical properties.3. It is known that most of the energy of our universe consists of dark matter and dark energy. We pointed out that it is natural that they interact with each other and obtained observational bound on it.We have also obtained some interesting new results on confinement in QCD by superstring and universality of the entropy-area relation for black holes. Less