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arXiv 1806.04064hep-th
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物质耦合7D N=2规范超引力的超对称解

Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity

Parinya Karndumri, Patharadanai Nuchino

摘要:

我们研究七维$N=2$规范超引力耦合到三个矢量多重态的超对称解。规范超引力包含六个规范$SO(4)\sim SO(3)\times SO(3)$对称性的矢量场,并允许两个具有$SO(4)$和$SO(3)_{\textrm{diag}}\subset SO(3)\times SO(3)$对称性的$N=2$超对称$AdS_7$真空。我们考虑在三形式场存在下两个渐近局部$AdS_7$几何之间的插值解。当两个$SO(3)$规范耦合常数取某一特定值时,不存在$SO(3)_{\textrm{diag}}$超对称$AdS_7$真空,但解可以通过已知的约化系数提升到11维.我们还研究了这种类型的解决方案和它们在M理论中的嵌入。我们进一步扩展这些解决方案,包括$SO(3)_{\textrm{diag}}$规范场,并认为,在一般情况下,这种推广不会导致超对称的解决方案。

英文摘要:

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$ symmetry and admits two $N=2$ supersymmetric $AdS_7$ vacua with $SO(4)$ and $SO(3)_{\textrm{diag}}\subset SO(3)\times SO(3)$ symmetries. We consider solutions interpolating between two asymptotically locally $AdS_7$ geometries in the presence of a three-form field. For a particular value of the two $SO(3)$ gauge coupling constants, the $SO(3)_{\textrm{diag}}$ supersymmetric $AdS_7$ vacuum does not exist, but the solutions can be uplifted to eleven dimensions by a known reduction ansatz. We also study solutions of this type and their embedding in M-theory. We further extend these solutions to include the $SO(3)_{\textrm{diag}}$ gauge fields and argue that, in general, this generalization does not lead to supersymmetric solutions.

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