秩为2的李代数多项式的流膜和S膜解
Fluxbrane and S-brane solutions with polynomials related to rank-2 Lie algebras
摘要：
复合通量膜和S膜解决方案的广泛的一类相交规则被认为是。这些解决方案定义在产品歧管R_{*} x M_1 x. x M_n包含n个Ricci平坦空间M_1，…，M_n与1维因子空间R_{*}和M_1.它们被确定为一组函数服从非线性微分方程相当于户田型方程施加一定的边界条件。得到了与单李代数C_2和G_2有关的具有两个膜和两个交的构型对应的精确解。在这些情况下，函数H_s（z），s = 1，2，分别是（3，4）次和（6，10）次多项式，这与文献[1]中提出的一个猜想一致，\cite{Iflux}。我们所考虑的S膜解，对于特殊的参数选择，可以描述我们的三维空间的加速膨胀和足够小的有效引力常量的变化。
英文摘要：
Composite fluxbrane and S-brane solutions for a wide class of intersection rules are considered. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n which contains n Ricci-flat spaces M_1, ..., M_n with 1-dimensional factor spaces R_{*} and M_1. They are determined up to a set of functions obeying non-linear differential equations equivalent to Toda-type equations with certain boundary conditions imposed. Exact solutions corresponding to configurations with two branes and intersections related to simple Lie algebras C_2 and G_2 are obtained. In these cases, the functions H_s(z), s =1,2, are polynomials of degrees (3, 4) and (6, 10), respectively, in agreement with a conjecture put forward previously in Ref., \cite{Iflux}. The S-brane solutions under consideration, for special choices of the parameters, may describe an accelerating expansion of our 3-dimensional space and a small enough variation of the effective gravitational constant.
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