AI 中文总结
针对耦合标量场与阿贝尔规范场的D维引力理论，构造四类单变量时空度规，推导N=2、N=8超引力及特定对称陪集流形理论的单变量解，明确标量流形几何对解结构的核心作用。
AI 中文摘要
我们针对一类广泛的D维引力理论（耦合标量场与阿贝尔规范场），构造了四类仅依赖单个变量的时空度规。作为该一般形式的应用，我们推导了未规范耦合的N=2、D=4超引力（耦合矢量多重态）的单变量解；还得到了N=8、D=4超引力的一致截断解，以及标量场参数化对称陪集流形SL(N,R)/SO(N,R)的理论的显式解。所有情形中，标量流形的几何在决定含非平庸标量与规范场构型的解结构中起核心作用。
英文摘要
We construct four families of spacetime metrics depending on a single variable for a broad class of $D$-dimensional gravitational theories coupled to scalar and Abelian gauge fields. As applications of the general formalism, we derive one-variable solutions of ungauged $\mathcal{N}=2$, $D=4$ supergravity coupled to vector multiplets. We also obtain explicit solutions for a consistent truncation of $\mathcal{N}=8$, $D=4$ supergravity, as well as for theories whose scalar fields parametrize the symmetric coset manifolds $SL(N,\mathbb{R})/SO(N,\mathbb{R})$. In all cases, the geometry of the scalar manifold plays a central role in determining the structure of the resulting solutions with nontrivial scalar and gauge field configurations.
Comments14 pages
