AI 中文总结
研究二维平坦和五维弯曲几何中实标量场模型里的紧致、长程和无真空区域，二维时详细探究支持局域解的模型，嵌入弯曲\(\text{AdS}_5\)背景可产生不同膜分布。
AI 中文摘要
我们研究了二维平坦和五维弯曲几何中实标量场描述的模型中紧致、长程和无真空区域的存在情况。在二维情况下，详细研究了几个支持局域解的模型。嵌入到弯曲的\(\text{AdS}_5\)背景中时，这些场会产生不同类型的膜分布。
英文摘要
We investigate the presence of compact, long-range, and vacuumless regimes in models described by real scalar fields in 2D flat and 5D warped geometries. In the two-dimensional case, we study in detail several models that support localized solutions. When embedded into a warped $\text{AdS}_5$ background, these fields generate distinct kinds of brane profiles.
Comments34 pages, 22 figures. To appear in Annals of Physics
Journal refAnnals of Physics 494 (2026) 170630
