论文标题

从7d n = 2衡量的超级重力的拓扑磁盘上包裹的五杆

Five-branes wrapped on topological disks from 7D N=2 gauged supergravity

论文作者

Karndumri, Parinya, Nuchino, Patharadanai

论文摘要

我们研究了超对称$ ads_5 \ timesσ$ solutions,因为$σ$是一个拓扑磁盘,在边界或“半轴”中具有非平凡的$ u(1)$ hulonomy,在七维$ n = 2 $ n = 2 $ guauged suppravity couplity couplity couplity coupl oply。 We consider compact and non-compact gauge groups, $SO(4-p,p)$, for $p=0,1,2$, and find a number of $AdS_5\times Σ$ solutions with $SO(2)\times SO(2)$ and $SO(2)_{\text{diag}}$ residual symmetry from $SO(4)$ and $SO(2,2)$ gauge groups.我们还找到了一个$(2)_r \ subset so(3)_r \ sim su(2)_r $对称解决方案,可以将其视为纯$ n = 2 $ n = 2 $ gauged的超级格言的解决方案(3)_r $ aguge组,以及来自Vector Multiplets Vanishing的所有字段。解决方案保留原始$ n = 2 $ supersymmetry的$ \ frac {1} {2} $,可以解释为四个维度中的超级二重奏$ n = 1 $ superconformal field理论。特别是,这些解决方案中的某些可以嵌入十或十个维度中,其中可以给出用包裹在拓扑磁盘上的五个烤肉的描述。

We study supersymmetric $AdS_5\times Σ$ solutions, for $Σ$ being a topological disk with non-trivial $U(1)$ holonomy at the boundary or "half-spindle", in seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets. We consider compact and non-compact gauge groups, $SO(4-p,p)$, for $p=0,1,2$, and find a number of $AdS_5\times Σ$ solutions with $SO(2)\times SO(2)$ and $SO(2)_{\text{diag}}$ residual symmetry from $SO(4)$ and $SO(2,2)$ gauge groups. We also find an $SO(2)_R\subset SO(3)_R\sim SU(2)_R$ symmetric solution which can be regarded as a solution of pure $N=2$ gauged supergravity with $SO(3)_R$ gauge group and all the fields from vector multiplets vanishing. The solutions preserve $\frac{1}{2}$ of the original $N=2$ supersymmetry and could be interpreted as supergravity duals of $N=1$ superconformal field theories in four dimensions. In particular, some of these solutions can be embedded in ten or eleven dimensions in which a description in terms of five-branes wrapped on a topological disk can be given.

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