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arXiv 1604.06007hep-th
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四维N=3规范超引力中的超对称Janus解

Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity

Parinya Karndumri

备注：
20 pages, no figure, typos corrected, references added
发表信息：
Phys. Rev. D 93, 125012 (2016)
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摘要：

我们利用四维规范超引力和$N=3$规范群构造了超对称Janus解。$N=3$超对称的$AdS_4$真空与不破缺的$SO(3)\times SU(3)$，等同于$AdS_4\times N^{010}$上的11维超引力的紧化，提供了具有$SU(3)$味对称的三维超对称$N=3$ Chern-Simons-Matter理论的引力对偶。因此，Janus解通过AdS/CFT全息术描述了Chern-Simons-Matter理论中的超对称共形界面。在$(1+1)$维共形缺陷上找到了两类分别保持$(2,1)$和$(0,1)$超对称性的Janus解.具有$(2,1)$超对称性的解保持$SO(2)\times SO(2)\times SO(2)\subset SO(3)\times SU(3)$对称性，而$(0,1)$超对称解在更大的$SO(2)\times SU(2)\times SO(2)$对称性下不变。

英文摘要：

We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3)\times SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3)\times SU(3)$, identified with the compactification of eleven-dimensional supergravity on $AdS_4\times N^{010}$, provides a gravity dual of supersymmetric $N=3$ Chern-Simons-Matter theory in three dimensions with $SU(3)$ flavor symmetry. The Janus solutions accordingly describe supersymmetric conformal interfaces within this Chern-Simons-Matter theory via the AdS/CFT holography. We find two classes of Janus solutions preserving respectively $(2,1)$ and $(0,1)$ supersymmetry on the $(1+1)$-dimensional conformal defects. The solution with $(2,1)$ supersymmetry preserves $SO(2)\times SO(2)\times SO(2)\subset SO(3)\times SU(3)$ symmetry while the $(0,1)$ supersymmetric solution is invariant under a larger $SO(2)\times SU(2)\times SO(2)$ symmetry.

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