Cosmological Problems in Supergravity in Inflationary Universe

我们在超重力的框架下研究了膨胀宇宙模型。我们解决了一个新的通货膨胀模型中的初值问题，该模型引入了“前通货膨胀”，它发生在新的通货膨胀之前，并通过超重力效应来设定初始值。这种“双膨胀”模型会导致原始黑洞的产生或密度起伏的功率谱破裂。我们还研究了超重力下的混沌膨胀模型，这是一个很难建立现实模型的模型。通过引入一种新的对称性，我们成功地构造了超引力中的混沌膨胀模型。此外，我们还研究了超对称模型中的重子发生，特别是研究了Q球和Affleck-Dine场的动力学，发现Q球的存在对模型参数有严格的限制。我们还考虑了超弦理论中的模问题，并证明了解决该问题所必需的熵产生与重子发生几乎不一致。

We have studied inflationary universe models in the framework of supergravity. We have solved initial value problem in a new inflation model introducing "pre-inflation" which takes place before the new inflation and sets the initial vale through supergravity effects. This "double inflation" model leads to production of primordial black holes or a broken power spectrum of density fluctuations. We have also studied a chaotic inflation model in supergravity which was difficult to construct a realistic model. By introducing a new symmetry we have successfully constructed a chaotic inflation model in supergravity. Furthermore, we have studied baryogenesis in SUSY models and, in particular, studied the dynamics of the Q-balls and Affleck-Dine field and have found that the model parameters are stringently constrained by the existence of the Q-ball. We have also considered the moduli problem in superstring theories and shown that the entropy production which is necessary to solve that problem is hardly consistent with baryogenesis.