AbstractWe find a large class of supersymmetric domain wall solutions from six-dimensional $$N=(2,2)$$
N
=
(
2
,
2
)
gauged supergravity with various gauge groups. In general, the embedding tensor lives in $${{\mathbf {144}}}_c$$
144
c
representation of the global symmetry SO(5, 5). We explicitly construct the embedding tensors in $${{\mathbf {15}}}^{-1}$$
15
-
1
and $$\overline{{\mathbf {40}}}^{-1}$$
40
¯
-
1
representations of $$GL(5)\sim {\mathbb {R}}^+\times SL(5)\subset SO(5,5)$$
G
L
(
5
)
∼
R
+
×
S
L
(
5
)
⊂
S
O
(
5
,
5
)
leading to $$CSO(p,q,5-p-q)$$
C
S
O
(
p
,
q
,
5
-
p
-
q
)
and $$CSO(p,q,4-p-q)\ltimes {\mathbb {R}}^4_{{\varvec{s}}}$$
C
S
O
(
p
,
q
,
4
-
p
-
q
)
⋉
R
s
4
gauge groups, respectively. These gaugings can be obtained from $$S^1$$
S
1
reductions of seven-dimensional gauged supergravity with $$CSO(p,q,5-p-q)$$
C
S
O
(
p
,
q
,
5
-
p
-
q
)
and $$CSO(p,q,4-p-q)$$
C
S
O
(
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 $${{\mathbf {15}}}^{-1}$$
15
-
1
or $$\overline{{\mathbf {40}}}^{-1}$$
40
¯
-
1
representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both $${{\mathbf {15}}}^{-1}$$
15
-
1
and $$\overline{{\mathbf {40}}}^{-1}$$
40
¯
-
1
representations, the domain walls turn out to be $$\frac{1}{4}$$
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 $$N=4$$
N
=
4
gauged supergravity.
Supersymmetry breaking deformations and phase transitions in five dimensions