Supersymmetric Index Of Three-Dimensional Gauge Theory
Supersymmetric Index Of Three-Dimensional Gauge Theory
复制标题
三维规范理论的超对称指数
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
E. Witten
中科院分区：
文献类型：
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作者：
E. Witten
在三维N=1超杨-米尔斯理论中，通过一个简单的规范群G和能级为k的Chern-Simons相互作用，超对称指数$Tr(-1)^F可以通过与纯Chern-Simons理论的关系来计算，或者在微观上通过在二环面上显式的Born-Oppenheimer计算来计算。结果表明，当$|k|\geq h/2$(其中$h$为$G$的对偶Coxeter数)时，超对称性是不被破坏的，并暗示了$|k|<；h/2$发生了动力学超对称破缺。具有较大值的理论是大质量规范理论，其普适性类没有被标准标准完全描述。
In N=1 super Yang-Mills theory in three spacetime dimensions, with a simple gauge group $G$ and a Chern-Simons interaction of level $k$, the supersymmetric index $\Tr (-1)^F$ can be computed by making a relation to a pure Chern-Simons theory or microscopically by an explicit Born-Oppenheimer calculation on a two-torus. The result shows that supersymmetry is unbroken if $|k|\geq h/2$ (with $h$ the dual Coxeter number of $G$) and suggests that dynamical supersymmetry breaking occurs for $|k|<h/2$. The theories with large $|k|$ are massive gauge theories whose universality class is not fully described by the standard criteria.