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

我们开展了与量子引力及其后果相关的研究，这是基本粒子物理和引力中最大的问题之一。由于这种理论最有希望的候选者，超弦，是在更高的维度上定义的，额外的维度必须被压缩，以便对我们的世界进行现实的描述。在这项研究中，我们系统地研究了含时膨胀解，以获得我们宇宙在低能超弦有效理论中的真实模型，并阐明了用超对称含时解来描述大爆炸奇异性的可能性。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。事实证明，我们的结果对于阐明粒子物理学基本理论和宇宙学之间的相互作用是非常有用的。我们的混凝土Res…更多结果如下所示。作为一种有效的高阶量子修正超弦理论，我们在超引力中系统地得到了有趣的宇宙学解。这些解决方案阐明了解释早期宇宙中的通货膨胀以及当前加速扩张的可能性。超对称解是我们研究其量子性质的少有系统之一。我们在超引力中构造了这样的星系数，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膜体系，阐明了它们的物理性质。众所周知，我们宇宙的大部分能量由暗物质和暗能量组成。我们指出它们之间的相互作用是很自然的，并得到了它们的观察界。我们还得到了一些有趣的新结果，如超弦对QCD的禁闭和黑洞的熵-面积关系的普适性。较少

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