Year: 2021
Type: article
Abstract: 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 ${\mathbf{5}}^{+7}$, ${\overline{\mathbf{5}}}^{+3}$, ${\mathbf{10}}^{\ensuremath{-}1}$, ${\mathbf{24}}^{\ensuremath{-}5}$, and ${\overline{\mathbf{45}}}^{+3}$ representations of the off-shell symmetry $GL(5)\ensuremath{\subset}SO(5,5)$. 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 $SO(2)\ensuremath{\ltimes}{\mathbb{R}}^{8}$ and $SO(2)\ensuremath{\ltimes}{\mathbb{R}}^{6}$ gauge groups from the embedding tensor in ${\mathbf{24}}^{\ensuremath{-}5}$ representation and in $CSO(2,0,2)\ensuremath{\ltimes}{\mathbb{R}}^{4}$, $CSO(2,0,2)\ensuremath{\ltimes}{\mathbb{R}}^{2}$, and $CSO(2,0,1)\ensuremath{\ltimes}{\mathbb{R}}^{4}$ 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.
Authors: Parinya Karndumri, Patharadanai Nuchino
Institution: Chulalongkorn University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Award: G2701969662
OpenAlex ID: W3214701067