In this study, we investigate swampland conjectures within the setup of matter and non-metricity nonminimal coupling theories of gravity. We examine how the inflationary solution produced by a single scalar field can be resolved with the swampland criteria in string theory regarding the formation of de Sitter solutions. The new important findings are that the inflationary scenario in our study differs from the one in general relativity because of the presence of a nonminimal coupling term, and that difference gives the correction to general relativity. In addition, we observe that the slow-roll conditions and the swampland conjectures are incompatible with each other for a single scalar field within the framework of nonminimally coupled alternative gravity theories. We predict that these results will hold for a wide range of inflationary scenarios in the context of nonminimal coupling gravitational theories.

中文翻译：

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具有非最小物质-非计量耦合的引力理论和 de-Sitter 沼泽地猜想


在这项研究中，我们研究了物质设置中的沼泽地猜想和非度量引力非最小耦合理论。我们研究了如何使用弦理论中关于 de Sitter 解形成的 swampland 标准来解决由单个标量场产生的膨胀解。新的重要发现是，我们研究中的膨胀情景与广义相对论中的膨胀情景不同，因为存在非最小耦合项，这种差异对广义相对论进行了修正。此外，我们观察到，在非最小耦合替代引力理论的框架内，对于单个标量场，慢滚条件和沼泽地猜想彼此不兼容。我们预测，在非最小耦合引力理论的背景下，这些结果将适用于广泛的膨胀情景。