# Supersymmetric domain walls in 7D maximal gauged supergravity

Research paper by **Parinya Karndumri, Patharadanai Nuchino**

Indexed on: **23 Jun '19**Published on: **05 Apr '19**Published in: **arXiv - High Energy Physics - Theory**

Join Sparrho today to stay on top of science

Discover, organise and share research that matters to you

Join Sparrho today to stay on top of science

Discover, organise and share research that matters to you

Join for free

#### Abstract

We give a large class of supersymmetric domain walls in maximal
seven-dimensional gauged supergravity with various types of gauge groups.
Gaugings are described by components of the embedding tensor transforming in
representations $\mathbf{15}$ and $\overline{\mathbf{40}}$ of the global
symmetry $SL(5)$. The embedding tensor in $\mathbf{15}$ representation leads to
$CSO(p,q,5-p-q)$ gauge groups while gaugings in $\overline{\mathbf{40}}$
representation describes $CSO(p,q,4-p-q)$ gauge groups. These gaugings adimits
half-supersymmetric domain walls as vacuum solutions. On the other hand,
gaugings involving both $\mathbf{15}$ and $\overline{\mathbf{40}}$ components
lead to $\frac{1}{4}$-supersymmetric domain walls. In this case, the gauge
groups under consideration are $SO(2,1)\ltimes \mathbf{R}^4$ and
$CSO(2,0,2)\sim SO(2)\ltimes \mathbf{R}^4$. All of the domain wall solutions
are analytically obtained. For $SO(5)$ gauge group, the gauged supergravity
admits an $N=4$ supersymmetric $AdS_7$ vacuum dual to $N=(2,0)$ SCFT in six
dimensions. The corresponding domain walls can be interpreted as holographic RG
flows from the $N=(2,0)$ SCFT to non-conformal $N=(2,0)$ field theories in the
IR. The solutions can be uplifted to eleven dimensions by using a truncation
ansatz on $S^4$. Furthermore, the gauged supergravity with $CSO(4,0,1)\sim
SO(4)\ltimes \mathbf{R}^4$ gauge group can be embedded in type IIA theory via a
truncation on $S^3$. The uplifted domain walls, describing NS5-branes of type
IIA theory, are also given.