标题： 膜上的红外动力学和时空几何 显示英文标题

标题： IR Dynamics on Branes and Space-Time Geometry

摘要： 我们考虑在$T^3$上紧致化的类型 I 理论。 当 D5 膜环绕$T^3$时，它在七维中产生一个 D2 膜。 在领先近似下，膜上的三维场论的真空中模空间是$T^4/\ZZ_2$。 该理论的对偶 M 理论描述是在 K3 上的紧致化，我们的 2 膜是在 K3 中一点的十一维 2 膜。 我们利用这一事实得出结论：膜上三维理论的强耦合红外效应将其模空间转化为 K3。 这种解释使我们能够通过将它们的 Coulomb 分支与 (有时为奇异的) K3 的一部分相匹配，来求解各种三维强耦合规范理论。 显示英文摘要

摘要： We consider the type I theory compactified on $T^3$. When the D5-brane wraps the $T^3$ it yields a D2-brane in seven dimensions. In the leading approximation the moduli space of vacua of the three dimensional field theory on the brane is $T^4/\ZZ_2$. The dual M theory description of this theory is a compactification on K3 and our 2-brane is the eleven dimensional 2-brane at a point in K3. We use this fact to conclude that strong coupling IR effects in the three dimensional theory on the brane turn its moduli space into a K3. This interpretation allows us to solve various strongly coupled gauge theories in three dimensions by identifying their Coulomb branch with a piece of a (sometime singular) K3.