论文标题
在保姆空间和滚动器中的限制
Confinement in de Sitter Space and the Swampland
论文作者
论文摘要
限制量表的限制规模$λ_c$的关系与背景Quasi de Sitter空间的Hubble量表$ h $，以满足Festina Lente标准（$λ_C\ gtrsim h $ H $），从SWAMPLAND原理中进行了调查，用于使用Karcharcharcharch Randall randall randall randall randel设置。纯粹的引力描述承认了不稳定的保姆极限，Festina Lente的要求转化为扰动引力双重双重的要求，但禁止对固定其他参数的任意层次结构任意。借助额外的标量扇形，该理论允许稳定的de Sitter minima，Festina Lente的要求对参数施加了限制。对于Festina Lente可能受到约束的某些参数范围，De Senter的最小值非常接近衰减，从而使适用性无效。研究了DS超大的有限寿命以及与相关的Swampland猜想的关系的进一步后果，没有发现矛盾。这些结果使Karch-randall设置的一致性和实用性阐明，阐明了Festina Lente对全息理论的含义，并将Festina Lente与其他Swampland猜想联系起来。
The relation between confinement scale $Λ_c$ of a gauge theory and the Hubble scale $H$ of the background quasi de Sitter space, required to satisfy the Festina Lente criteria ($Λ_c \gtrsim H$) from swampland principles, are investigated for a holographic theory using the Karch-Randall setup. A purely gravitational description admits unstable de Sitter extremum, and the requirement of Festina Lente translates into requirements of a perturbative gravitational dual, but prohibits an arbitrarily small hierarchy for other parameters fixed. With an additional scalar sector, the theory admits metastable de Sitter minima, and the requirement of Festina Lente imposes constraints on the parameters. For some range of parameters where Festina Lente could be constraining, the de Sitter minimum is very close to decay, thus invalidating the applicability. Further consequences of the finite lifetime of the dS extrema and the relation with related swampland conjectures are investigated, and no contradictions are found. These results make case for the consistency and utility of the Karch-Randall setup, clarify the implications of Festina Lente for holographic theories, and connect Festina Lente to other swampland conjectures.
