Sitting on the domain walls of N=1 super Yang-Mills
Sitting on the domain walls of N=1 super Yang-Mills
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坐在 N=1 个超级杨米尔斯的磁域墙上
DOI：
10.1088/1126-6708/2005/07/043
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发表时间：
2005
影响因子：
5.4
通讯作者：
T. Hollowood
中科院分区：
文献类型：
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作者：
A. Armoni;T. Hollowood
在规范群为SU(N)的Pure=1超对称Yang-Mills中，根据弦理论的实现，证明了分隔N个真空的磁区壁是禁闭弦的D膜。在一定的极限下，这意味着k个平行域壁的构型可以用2+1维U(K)规范理论来描述。这个理论被Acharya和Vafa确定为U(K)规范理论，其中4个超电荷被N能级的Chern-Simons项打破，使得2个超电荷保持不变。进一步论证了当N较大时，域壁规范理论的规范耦合类似于G2~Λ/N。在两个域壁的情况下，我们证明了U(2)世界体积理论在微扰理论中在库仑分支的两圈处产生一个二次势，这与两壁系统存在超对称束缚态是一致的。在超对称极小值附近产生了Λ/N量级的质量间隙，我们估计束缚态的大小为Λ/(N)1/2。在很远的距离上，势能达到一个常数，可以定性地解释两壁的结合能，即使严格地说，弦效应并不是解耦的。
In pure = 1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described by a 2+1-dimensional U(k) gauge theory. This theory has been identified by Acharya and Vafa as the U(k) gauge theory with 4 supercharges broken by a Chern-Simons term of level N in such a way that 2 supercharges are preserved. We argue further that the gauge coupling of the domain wall gauge theory goes like g2 ~ Λ/N , for large N. In the case of two domain walls, we show that the U(2) world-volume theory generates a quadratic potential on the Coulomb branch at two loops in perturbation theory which is consistent with there being a supersymmetric bound state of the two wall system. A mass gap of order Λ/N is generated around the supersymmetric minimum and we estimate the size of the bound-state to be order Λ/(N)1/2. At large distance the potential reaches a constant that can qualitatively account for the binding energy of the two walls even though stringy effects are not, strictly speaking, decoupled.