标题： 增强规范对称性在M理论和弦理论中的注记 显示英文标题

标题： A Note on Enhanced Gauge Symmetries in M- and String Theory

摘要： 非微扰弦/M理论中存在两种不同的机制来增强SU(N)（SO(2N)）规范对称性。 它可以在IIA型弦理论或M理论中靠近一个$A_{N-1}$（D_N）型奇点时出现，此时膜被缠绕在二维循环上变得无质量，或者它可以由于D膜（以及反向D膜平面）的重合而出现，在这种情况下，拉伸在D膜之间的开弦变得无质量。 在这篇文章中，我们通过展示M理论中的一个构型揭示了这两种机制之间的关系，该构型在一个极限下可以看作是缠绕在二维循环上的膜具有$A_{N-1}$（D_N）型交截矩阵，在另一个极限下可以看作是在一个反向D膜平面上拉伸的N个Dirichlet 6膜之间的开弦。 显示英文摘要

摘要： Two different mechanisms exist in non-perturbative String / M- theory for enhanced SU(N) (SO(2N)) gauge symmetries. It can appear in type IIA string theory or M-theory near an $A_{N-1}$ (D_N) type singularity where membrnes wrapped around two cycles become massless, or it can appear due to coincident D-branes (and orientifold planes) where open strings stretched between D-branes become massless. In this paper we exhibit the relationship between these two mechanisms by displaying a configuration in M-theory, which, in one limit, can be regarded as membranes wrapped around two cycles with $A_{N-1}$ (D_N) type intersection matrix, and in another limit, can be regarded as open strings stretched between N Dirichlet 6-branes (in the presence of an orientifold plane).