1307.6641 (Parinya Karndumri)

1/4-BPS Domain wall from N=10 three dimensional gauged supergravity    [PDF]

Parinya Karndumri

We explicitly construct N=10 Chern-Simons gaged supergravity in three dimensions with non-semisimple gauge group $SO(5)\ltimes \mathbf{T}^{10}$. 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 also discuss the spectrum of the corresponding reduction. Interestingly, the $SO(5)\ltimes \mathbf{T}^{10}$ gauged supergravity admits a $\frac{1}{4}$-BPS domain wall vacuum solution rather than the commonly known $\frac{1}{2}$-BPS domain walls. The explicit form of the domain wall solution is also given.

View original: http://arxiv.org/abs/1307.6641