# Domain walls in three dimensional gauged supergravity

Research paper by **Parinya Karndumri**

Indexed on: **28 Sep '12**Published on: **28 Sep '12**Published in: **High Energy Physics - Theory**

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#### Abstract

We explicitly construct two Chern-Simons gauged supergravities in three
dimensions with N=4 and N=8 supersymmetries and non-semisimple gauge groups.
The N=4 theory has scalar manifold $SO(4,3)/SO(4)\times SO(3)$ with the gauge
group $SO(3)\ltimes (\mathbf{T}^3,\hat{\mathbf{T}}^3)$. The theory describes
(1,0) six dimensional supergravity reduced on an SU(2) group manifold. The
equivalent Yang-Mills type gauged supergravity has SO(3) gauge group coupled to
three massive vector fields. The N=8 theory is described by
$SO(8,8)/SO(8)\times SO(8)$ scalar manifold, and the gauge group is given by
$SO(8)\ltimes \mathbf{T}^{28}$. The theory is a truncation of the $SO(8)\ltimes
\mathbf{T}^{28}$ gauged N=16 theory with scalar manifold $E_{8(8)}/SO(16)$ and
can be obtained by an S^7 compactification of type I theory in ten dimensions.
Domain wall solutions of both gauged supergravities are analytically found and
can be uplifted to higher dimensions. These provide domain wall vacua in the
three dimensional gauged supergravity framework which might be useful for the
study of Domain Wall$_3$/QFT$_2$ correspondence.