标题： D=11 超膜瞬子，W(∞) 字符串和超托达分子 显示英文标题

标题： D=11 Supermembrane Instantons, W(infty) Strings and the Super Toda Molecule

摘要： 精确的瞬子解到$D=11$球面超膜在平坦目标时空背景中的运动被构造出来。 我们的起点是超杨-米尔斯理论，基于无限维的$SU(\infty)$群，将其维数减少到一个时间维度。 以这种方式，恢复了超托达分子方程，仅保留了一种超对称性，而不是原本可以获得的$N=16$种。 推测预期的(超)膜的目标时空临界维度，($D=11$)$D=27$与$noncritical$(超)$W_{\infty}$弦的维度密切相关。 对这些对称性的BRST分析应该能提供关于($D=11$)$D=27$维(super)膜的量子一致性的信息。 在结论中，对Skyrmions可能在迄今为止构建的两种旋转膜作用量中所起的作用进行了评论。 最后，强调了复数超空间中光线上可积性在其他类型解中的重要性。 显示英文摘要

摘要： Exact instanton solutions to $D=11$ spherical supermembranes moving in flat target spacetime backgrounds are construted. Our starting point is Super Yang-Mills theories, based on the infinite dimensional $SU(\infty)$ group, dimensionally reduced to one time dimension. In this fashion the super-Toda molecule equation is recovered preserving only one supersymmetry out of the $N=16$ that one would have obtained otherwise. It is conjectured that the expected critical target spacetime dimensions for the (super) membrane, ($D=11$) $D=27$ is closely related to that of the $noncritical$ (super) $W_{\infty}$ strings. A BRST analysis of these symmetries should yield information about the quantum consistency of the ($D=11$) $D=27$ dimensional (super) membrane. Comments on the role that Skyrmions might play in the two types of Spinning- Membrane actions construted so far is presented at the conclusion. Finally, the importance that integrability on light-lines in complex superspaces has in other types of solutions is emphasized.