1/2-BPS Domain wall from N=10 three dimensional gauged supergravity

Abstract

We explicitly construct $N=10$ Chern-Simons gaged supergravity in three dimensions with non-semisimple gauge group $SO(5)⋉{\mathbf{T}}^{10}$. The gauge group is embedded in $E_{6(-14)}$ which is the isometry group of the 32-dimensional scalar manifold $E_{6(-14)}/SO(10)\times U(1)$. The resulting theory is on-shell equivalent to $SO(5)$ Yang-Mills gauged supergravity coming from dimensional reduction on $S^1$ of $SO(5)$ $N=5$ gauged supergravity in four dimensions. We discuss the spectrum of the corresponding reduction. The $SO(5)⋉{\mathbf{T}}^{10}$ gauged supergravity, describing the reduced theory, admits a $\frac{1}{2}$-BPS domain wall vacuum solution whose explicit form is also given. This provides an example of a domain wall in non-maximal gauged supergravity.

20 pages no figures, the wrong number of the unbroken supersymmetry corrected and a few references added

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• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• New N=5,6, 3D gauged supergravities and holography
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions