Supersymmetric domain walls in maximal 6D gauged supergravity I

Abstract

We find a large class of supersymmetric domain wall solutions from six-dimensional $N=(2,2)$ gauged supergravity with various gauge groups. In general, the embedding tensor lives in ${144}_c$ representation of the global symmetry $SO(5,5)$. We explicitly construct the embedding tensors in ${15}^{-1}$ and ${\overline{40}}^{-1}$ representations of $GL(5)\sim {\mathbb{R}}^{+}\times SL(5)\subset SO(5,5)$ leading to $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)⋉{\mathbb{R}}_{\mathbf{s}}^4$ gauge groups, respectively. These gaugings can be obtained from $S^1$ reductions of seven-dimensional gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)$ gauge groups. As in seven dimensions, we find half-supersymmetric domain walls for purely magnetic or purely electric gaugings with the embedding tensors in ${15}^{-1}$ or ${\overline{40}}^{-1}$ representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both ${15}^{-1}$ and ${\overline{40}}^{-1}$ representations, the domain walls turn out to be $\frac{1}{4}$-supersymmetric as in the seven-dimensional analogue. By the DW/QFT duality, these solutions are dual to maximal and half-maximal super Yang-Mills theories in five dimensions. All of the solutions can be uplifted to seven dimensions and further embedded in type IIB or M-theories by the well-known consistent truncation of the seven-dimensional $N=4$ gauged supergravity.

arXiv comment60 pages, no figure, typos corrected and references added

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Cited by in corpus (4)

• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Wrapped D4-branes from maximal 6D gauged supergravity
• Supersymmetric quantum mechanics from wrapped D4-branes