Invariance theorems for supersymmetric Yang–Mills theories

Invariance theorems for supersymmetric Yang–Mills theories
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超对称杨-米尔斯理论的不变性定理

DOI:
10.4310/atmp.2000.v4.n2.a8
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发表时间:
2000
影响因子:
1.5
通讯作者:
M. Stern
M. Stern
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
S. Sethi;M. Stern

文献摘要

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我们考虑具有八个增压和 $Spin(5) \times SU(2)_R$ 风味对称性的量子力学 Yang-Mills 理论。我们证明,这些规范理论中的所有可归一化基态在这种风味对称性下都是不变的。作为一种特殊情况,这包括 D0-膜和 D4-膜的所有束缚态。因此,D0 膜的所有束缚态在 $Spin(9)$ 风味对称性下都是不变的。当与索引结果结合时,这意味着两个 D0 膜的结合态是唯一的。
We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. We show that all normalizable ground states in these gauge theories are invariant under this flavor symmetry. This includes, as a special case, all bound states of D0-branes and D4-branes. As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. When combined with index results, this implies that the bound state of two D0-branes is unique.