Supersymmetric domain walls in maximal 6D gauged supergravity III
We continue our study of gaugings the maximal N = ( 2 , 2 ) supergravity in six dimensions with gauge groups obtained from decomposing the embedding tensor under R + × S O ( 4 , 4 ) subgroup of the global symmetry SO (5, 5). Supersymmetry requires the embedding tensor to transform in 144 c represent...
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Published in | The European physical journal. C, Particles and fields Vol. 84; no. 3; pp. 333 - 17 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
29.03.2024
Springer Nature B.V SpringerOpen |
Subjects | |
Online Access | Get full text |
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Summary: | We continue our study of gaugings the maximal
N
=
(
2
,
2
)
supergravity in six dimensions with gauge groups obtained from decomposing the embedding tensor under
R
+
×
S
O
(
4
,
4
)
subgroup of the global symmetry
SO
(5, 5). Supersymmetry requires the embedding tensor to transform in
144
c
representation of
SO
(5, 5). Under
R
+
×
S
O
(
4
,
4
)
subgroup, this leads to the embedding tensor in
(
8
±
3
,
8
±
1
,
56
±
1
)
representations. Gaugings in
8
±
3
representations lead to a translational gauge group
R
8
while gaugings in
8
±
1
representations give rise to gauge groups related to the scaling symmetry
R
+
.
On the other hand, the embedding tensor in
56
±
1
representations gives
C
S
O
(
4
-
p
,
p
,
1
)
∼
S
O
(
4
-
p
,
p
)
⋉
R
4
⊂
S
O
(
4
,
4
)
gauge groups with
p
=
0
,
1
,
2
.
More interesting gauge groups can be obtained by turning on more than one representation of the embedding tensor subject to the quadratic constraints. In particular, we consider gaugings in both
56
-
1
and
8
+
3
representations giving rise to larger
S
O
(
5
-
p
,
p
)
and
S
O
(
4
-
p
,
p
+
1
)
gauge groups for
p
=
0
,
1
,
2
.
In this case, we also give a number of half-supersymmetric domain wall solutions preserving different residual symmetries. The solutions for gaugings obtained only from
56
-
1
representation are also included in these results when the
8
+
3
part is accordingly turned off. |
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ISSN: | 1434-6052 1434-6044 1434-6052 |
DOI: | 10.1140/epjc/s10052-024-12676-y |