JHEP02(2019)108
used to gauge the SU(2)
R
× U(1) gauge symmetry. The vector multiplet consists of
(A
µ
, λ
A
, ϕ
α
)
I
, (2.2)
where they denote a vector field, gaugini, and four real scalar fields, respectively, and
I = 1, . . . , n labels the vector multiplets. The fermionic fields are eight-dimensional
pseudo-Majorana spinors and transform in the fundamental representation of the SU(2)
R
∼
USp(2)
R
R-symmetry denoted by indices, A, B = 1, 2. We denote the coupling constants
of gauge fields from the gravity and vector multiplets by g
1
and g
2
, respectively, and the
mass parameter of the two-form gauge potential by m.
When there is no vector multiplet, the theory reduces to pure F (4) gauged supergrav-
ity [1]. In pure F (4) gauged supergravity, there are five inequivalent theories: N = 4
+
(g
1
> 0, m > 0), N = 4
−
(g
1
< 0, m > 0), N = 4
g
(g
1
> 0, m = 0), N = 4
m
(g
1
= 0,
m > 0), N = 4
0
(g
1
= 0, m = 0). The N = 4
+
theory admits a supersymmetric AdS
6
fixed point when g
1
= 3m. At the supersymmetric AdS
6
fixed point, all the fields are
vanishing except the AdS
6
metric.
The scalar fields from the gravity and vector multiplets parametrize each factor of the
coset manifold,
M = SO(1, 1) ×
SO(4, n)
SO(4)×SO(n)
, (2.3)
respectively. The coset representative of the second factor is given by
P
I
α
= (P
I
0
, P
I
r
) = (Ω
I
0
, Ω
I
r
) , (2.4)
where we define
Ω
Λ
Σ
= (L
−1
)
Λ
Π
∇L
Π
Σ
, ∇L
Λ
Σ
= dL
Λ
Σ
− f
Γ
Λ
Π
A
Γ
L
Π
Σ
, (2.5)
and Λ = (α, I) or Λ = (0, r, I) with r = 1, 2, 3. The indices, Λ, Σ, . . . , are raised and
lowered by
η
ΛΣ
= diag(1, 1, 1, 1, −1, . . . , −1) . (2.6)
The bosonic Lagrangian is given by
e
−1
L = −
1
4
R + ∂
µ
σ∂
µ
σ −
1
4
P
Iαµ
P
Iαµ
− V −
1
8
e
−2σ
N
ΛΣ
F
Λ
µν
F
Σµν
+
3
64
e
4σ
H
µνλ
H
µνλ
−
1
64
µνρστκ
B
µν
η
ΛΣ
F
Λ
ρσ
F
Σ
τκ
+ mB
ρσ
F
0
τκ
+
1
3
m
2
B
ρσ
B
τκ
, (2.7)
and
V = − e
2σ
1
36
A
2
+
1
4
B
t
B
t
+
1
4
C
I
t
C
It
+ D
I
t
D
It
+ m
2
e
−6σ
N
00
− me
−2σ
2
3
AL
00
− 2B
t
L
0t
, (2.8)
where we define
N
ΛΣ
= L
0
Λ
(L
−1
)
0Σ
+ L
Λ
r
(L
−1
)
rΣ
− L
Λ
I
(L
−1
)
IΣ
, (2.9)
– 3 –
剩余19页未读，继续阅读
weixin_38680664
- 粉丝: 2
- 资源: 941
我的内容管理
展开
最新资源
- 计算机人脸表情动画技术发展综述
- 关系数据库的关键字搜索技术综述：模型、架构与未来趋势
- 迭代自适应逆滤波在语音情感识别中的应用
- 概念知识树在旅游领域智能分析中的应用
- 构建is-a层次与OWL本体集成：理论与算法
- 基于语义元的相似度计算方法研究：改进与有效性验证
- 网格梯度多密度聚类算法：去噪与高效聚类
- 网格服务工作流动态调度算法PGSWA研究
- 突发事件连锁反应网络模型与应急预警分析
- BA网络上的病毒营销与网站推广仿真研究
- 离散HSMM故障预测模型：有效提升系统状态预测
- 煤矿安全评价：信息融合与可拓理论的应用
- 多维度Petri网工作流模型MD_WFN：统一建模与应用研究
- 面向过程追踪的知识安全描述方法
- 基于收益的软件过程资源调度优化策略
- 多核环境下基于数据流Java的Web服务器优化实现提升性能
资源上传下载、课程学习等过程中有任何疑问或建议，欢迎提出宝贵意见哦~我们会及时处理！
点击此处反馈
