发表机构
Harvard University（哈佛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文回顾暗维度情景及其预言，包括KK引力子暗物质、微中子质量与轴子衰变常数等，并探讨其与DESI数据的一致性及非超对称弦真空的最新进展。
AI 中文摘要
沼泽地原理，结合暗能量 $\Lambda$ 的微小性，导致了暗维度情景的出现，即存在一个微米尺度的额外维度。我们回顾了这一情景及其预言：KK引力子暗物质（或引力子转化进入的quintessence场的KK塔）、通过体$B-L$规范对称性与$\Lambda^{1/4}$相联系的微中子质量、在5维普朗克尺度$M_5$处的QCD轴子衰变常数$f_a\sim \Lambda^{1/12}\sim 10^9-10^{10}$ GeV，将电弱层级与$\Lambda^{1/6}$联系起来，以及以$M_5$为几何平均的GUT尺度与弱尺度之间的关系。暗维度还提供了演化的暗扇区的具体实现：其直径的演化将暗能量的变化与暗物质质量的变化相关联，拟合了最近的DESI DR2（+CMB+超新星）数据，同时避免了$w_0w_a$CDM参数化所暗示的幻影穿越——表观幻影行为反而源于演化的暗物质质量。拟合结果表明暗能量场位于模空间内部，靠近一个不稳定的临界点。受此启发，我们回顾了非超对称弦真空的最新进展：由对偶对称性保护的非几何通量紧致化中的孤立临界点、M理论的Scherk-Schwarz紧致化，以及新兴的非超对称弦对偶网络。本文基于作者在String Phenomenology 2026（巴黎）和Strings 2026（上海）两次报告的内容。
英文摘要
Swampland principles, combined with the smallness of dark energy $Λ$, lead to the dark dimension scenario, with one extra dimension of micron size. We review this scenario and its predictions: KK graviton dark matter (or the KK tower of the quintessence field into which the gravitons convert), neutrino masses tied to $Λ^{1/4}$ via a bulk $B-L$ gauge symmetry, QCD axion decay constant $f_a\sim Λ^{1/12}\sim 10^9-10^{10}$ GeV at the 5d Planck scale $M_5$, connecting electroweak hierarchy to $Λ^{1/6}$, and a relation between the GUT and weak scales with $M_5$ as the geometric mean. The dark dimension also provides a concrete realization of an evolving dark sector: the evolution of its diameter correlates the variation of dark energy with that of the dark matter mass, fitting the recent DESI DR2 (+CMB+supernovae) data while avoiding the phantom crossing that the $w_0w_a$CDM parametrization would suggest---the apparent phantom behavior instead arises from the evolving dark matter mass. The fits suggest that the dark energy field sits in the interior of moduli space, near an unstable critical point. Motivated by this, we review recent progress on non-supersymmetric string vacua: isolated critical points protected by duality symmetries, in non-geometric flux compactifications and in Scherk--Schwarz compactifications of M-theory, and an emerging duality web for non-supersymmetric strings. This note is based on two talks given by the author at String Phenomenology 2026 (Paris) and Strings 2026 (Shanghai).
Comments20 pages, based on talks at String Phenomenology 2026 (Paris) and Strings 2026 (Shanghai)
