标题： 可缩放引力中的超几何势 inflation 与弦论修正下的 swampland 计划 显示英文标题

标题： Hypergeometric Potential Inflation and Swampland Program in Rescaled Gravity with Stringy Corrections

摘要： 受弦理论活动的启发，我们研究了弦论重标度引力背景下的暴胀模型和景观准则。 受与特殊函数相关的微分方程的启发，我们开发了一个算法，从弦论修正项中推导出具有超几何行为的新标量势函数。 其中，我们获得了一族由一对$(m,n)$索引的模型，其中$m$和$n$是由超几何行为和某些物理要求约束的自然数。 使用证伪场景，我们将推导出的模型与这种弦论重标度引力的普朗克观测数据进行对比。 然后，我们探讨了相关的景观假说。 对于某些具有现象学兴趣的模型，我们发现在这种修改引力中，当慢滚参数取小值时，景观准则得到满足。 显示英文摘要

摘要： Motivated by string theory activities, we investigate inflationary models and the swampland criteria in the context of a stringy rescaled gravity. Inspired by differential equations associated with special functions, we develop an algorithm to derive new scalar potential functions with hypergeometric behaviors from string theory correction terms. Among others, we obtain a family of models indexed by a couple $(m,n)$, where $m$ and $n$ are natural numbers constrained by hypergeometric behaviors and certain physical requirements. Using the falsification scenario, we confront the derived models with the Planck observational data for such a stringy rescaled gravity. Then, we approach the associated swampland conjectures. For certain models of phenomenological interest, we find that the swampland criteria are satisfied for small values of the slow-roll parameters in such a modified gravity.