论文标题

弦理论和滚动剂量的渐近加速扩展

Asymptotic Accelerated Expansion in String Theory and the Swampland

论文作者

Calderón-Infante, José, Ruiz, Ignacio, Valenzuela, Irene

论文摘要

我们研究了对无限野外距离限制的普遍逃跑行为是否可以产生加速的扩展宇宙学。我们确定了某些提出的界限,即在4D $ \ Mathcal {n} = 1 $超级强烈的临近(在参数控制下)加速膨胀的漏洞,通过考虑潜在竞争的几个术语。然后,我们分析了来自calabi-yau四倍的F理论通量压实的具体弦理论示例,从而通过超越弱弦耦合到复杂结构模量空间中的不同无限距离限制来扩展先前的结果。我们发现一些潜在的候选者产生渐近加速膨胀,并具有满足$γ= \ frac {\ | \ nabla v \ |} {v} {v} <\ sqrt {2} $沿其梯度流的情况。但是,这是否真正描述了一个加速的扩展宇宙学仍然是一个悬而未决的问题,直到研究了包括Kahler Moduli在内的完整模量稳定。最后,我们还重新制定了禁止渐近加速扩张的条件,作为凸船体的猜想,它类似于凸壳标量WGC,用于产生磁通电位的膜。这提供了一种图形方法,可以快速确定多模型设置中的渐近梯度流量轨迹以及沿其$γ$的值。

We study whether the universal runaway behaviour of stringy scalar potentials towards infinite field distance limits can produce an accelerated expanding cosmology à la quintessence. We identify a loophole to some proposed bounds that forbid such asymptotic (at parametric control) accelerated expansion in 4d $\mathcal{N}=1$ supergravities, by considering several terms of the potential competing asymptotically. We then analyse concrete string theory examples coming from F-theory flux compactifications on Calabi-Yau fourfolds, extending previous results by going beyond weak string coupling to different infinite distance limits in the complex structure moduli space. We find some potential candidates to yield asymptotic accelerated expansion with a flux potential satisfying $γ=\frac{\|\nabla V\|}{V}<\sqrt{2}$ along its gradient flow. However, whether this truly describes an accelerated expanding cosmology remains as an open question until full moduli stabilization including the Kahler moduli is studied. Finally, we also reformulate the condition for forbidding asymptotic accelerated expansion as a convex hull de Sitter conjecture which resembles a convex hull scalar WGC for the membranes generating the flux potential. This provides a pictorial way to quickly determine the asymptotic gradient flow trajectory in multi-moduli setups and the value of $γ$ along it.

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