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arXiv 2108.08260hep-th
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最大6维规范超重力II中的超对称畴壁

Supersymmetric domain walls in maximal 6D gauged supergravity II

Parinya Karndumri, Patharadanai Nuchino

备注：
44 pages, no figure, a sequel of arXiv: 2102.11185, typos corrected
发表信息：
Phys. Rev. D104 (2021) 106008
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摘要：

我们继续研究六维最大规范超引力场中的超对称畴壁解。我们首先给出了在离壳对称性$GL(5)\subset SO(5,5)$的$\mathbf{5}^{+7}$、$\bar{\mathbf{5}}^{+3}$、$\mathbf{10}^{-1}$、$\mathbf{24}^{-5}$和$\overline{\mathbf{45}}^{+3}$表示中嵌入张量的可行规范群的分类。我们确定了一个明确的形式的嵌入张量的规范群所产生的每一个表示与它们之间的一些可能的组合的例子。所有由此产生的规范群是一个非半单类型的阿贝尔因子和平移群的不同尺寸。我们发现$\frac{1}{2}$ -和$\frac{1}{4}$ -超对称域壁与$SO(2)$对称性的$SO(2)\ltimes \mathbb{R}^8$和$SO(2)\ltimes \mathbb{R}^6$规范群从嵌入张量在$\mathbf{24}^{-5}$表示和在$CSO(2,0,2)\ltimes \mathbb{R}^4$，$CSO(2,0,2)\ltimes \mathbb{R}^2$，和$CSO(2,0,1)\ltimes \mathbb{R}^4$规范群与嵌入张量在$\overline{\mathbf{45}}^{+3}$表示。这些规范群参数化的无痕矩阵和电磁嵌入$SO(5,5)$全球对称性，分别。

英文摘要：

We continue the study of supersymmetric domain wall solutions in six-dimensional maximal gauged supergravity. We first give a classification of viable gauge groups with the embedding tensor in $\mathbf{5}^{+7}$, $\bar{\mathbf{5}}^{+3}$, $\mathbf{10}^{-1}$, $\mathbf{24}^{-5}$, and $\overline{\mathbf{45}}^{+3}$ representations of the off-shell symmetry $GL(5)\subset SO(5,5)$. We determine an explicit form of the embedding tensor for gauge groups arising from each representation together with some examples of possible combinations among them. All of the resulting gauge groups are of a non-semisimple type with abelian factors and translational groups of different dimensions. We find $\frac{1}{2}$- and $\frac{1}{4}$-supersymmetric domain walls with $SO(2)$ symmetry in $SO(2)\ltimes \mathbb{R}^8$ and $SO(2)\ltimes \mathbb{R}^6$ gauge groups from the embedding tensor in $\mathbf{24}^{-5}$ representation and in $CSO(2,0,2)\ltimes \mathbb{R}^4$, $CSO(2,0,2)\ltimes \mathbb{R}^2$, and $CSO(2,0,1)\ltimes \mathbb{R}^4$ gauge groups with the embedding tensor in $\overline{\mathbf{45}}^{+3}$ representations. These gauge groups are parametrized by a traceless matrix and electrically and magnetically embedded in $SO(5,5)$ global symmetry, respectively.

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