发表机构
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)（马克斯·普朗克物理研究所（维尔纳·海森堡研究所））
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究指出T-膜抬升德西特真空方案存在严重控制问题，因体积上界受限及翘曲修正不可控，难以在弦理论中自洽实现。
AI 中文摘要
T-膜被认为在IIB型弦理论的LARGE-volume方案中提供了一致的德西特真空抬升。我们指出，这一构造存在严重的控制问题：弦框架体积被一个仅依赖于Calabi-Yau定向折叠拓扑的数从上方限制，且该数通常为$\mathcal{O}(1)$或更小。这一观察立即排除了许多$h^{1,1}=2$模型中受控的德西特真空，如果非微扰超势由D3-膜瞬子产生。我们给出证据表明类似结论适用于$h^{1,1}>2$的情况，并明确展示了两个$h^{1,1}=4$的模型。在我们的模型中，当非微扰超势由胶凝聚产生时，体积界限似乎不那么严重。然而，我们研究了约$\mathcal{O}(600)$个此类模型，发现尽管那里大体积的德西特解在朴素上可能，但它们遭受不受控制的翘曲修正，其体积抑制被其他因素（特别是大电荷）抵消。我们还观察到，在我们集合中翘曲修正最小的模型具有非常小的tadpole，同时需要精细调节的弦耦合和通量超势，这可能表明轴-膨胀子/复结构模量稳定存在额外问题。最后，我们指出一个与膜模量稳定相关的独立挑战。我们的各种结果使我们得出结论：T-膜抬升方案不太可能在弦理论中以自洽的方式实现。
英文摘要
T-branes have been argued to provide a consistent uplift to de Sitter vacua in the context of the LARGE-volume scenario of type IIB string theory. We point out that this construction suffers from a serious control problem: the string-frame volume is bounded from above by a number that depends only on the topology of the Calabi-Yau orientifold and is often $\mathcal{O}(1)$ or smaller. This observation immediately rules out controlled de Sitter vacua in many models with $h^{1,1}=2$ if the non-perturbative superpotential is generated by D3-brane instantons. We give evidence that similar conclusions apply for $h^{1,1}>2$ and show this explicitly for two models with $h^{1,1}=4$. Our volume bound is seemingly less severe in models where the non-perturbative superpotential is generated by gaugino condensation. However, we study $\mathcal{O}(600)$ such models and find that, although de Sitter solutions with large volumes are naively possible there, they suffer from uncontrolled warping corrections whose volume suppression is cancelled by other factors, in particular large charges. We also observe that the models with the smallest warping corrections within our set have very small tadpoles and at the same time require a fine-tuned string coupling and flux superpotential, which may indicate an additional problem with the axio-dilaton/complex-structure-moduli stabilization. Finally, we point out an independent challenge related to the stabilization of the brane moduli. Our various results lead us to conclude that it is unlikely that the scenario of T-brane uplifting can be realized in string theory in a self-consistent manner.
Comments46 pages + appendices
