Counting domain walls in N=1 superYang-Mills
Counting domain walls in N=1 superYang-Mills
复制标题
计算 N=1 superYang-Mills 中的磁畴壁
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Shifman
中科院分区：
文献类型：
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作者：
A. Ritz;A. Vainshtein;M. Shifman
我们研究了$\mathcal {N}= 1 $超杨-米尔斯理论中BPS畴壁的多重性，通过加入基本物质进入弱耦合的Higgs相。通过诱导世界体积理论中的维滕指数确定了连接两个特定真空态的畴壁数，该指数在变形到Higgs相时是不变的.世界体积理论是一个具有格拉斯曼目标空间的西格玛模型，该目标空间作为与被壁解打破的全局对称性相关联的陪集而出现。施加一个合适的红外调节器，其结果被发现同意最近的工作Acharya和Vafa，其中的墙壁被实现为包装$D4 $-膜在IIA型弦理论。
We study the multiplicity of BPS domain walls in $\mathcal{N}=1$ super Yang-Mills theory, by passing to a weakly coupled Higgs phase through the addition of fundamental matter. The number of domain walls connecting two specified vacuum states is then determined via the Witten index of the induced world volume theory, which is invariant under the deformation to the Higgs phase. The world volume theory is a sigma model with a Grassmanian target space which arises as the coset associated with the global symmetries broken by the wall solution. Imposing a suitable infrared regulator, the result is found to agree with recent work of Acharya and Vafa in which the walls were realized as wrapped $D4$-branes in type IIA string theory.