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

Supersymmetric Janus solutions in four-dimensional N =3 gauged supergravity
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四维 N =3 规范超重力中的超对称 Janus 解

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发表时间:
2016
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通讯作者:
Parinya Karndumri
Parinya Karndumri
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作者:
Parinya Karndumri

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我们利用四维规范超引力构造了超对称Janus解,其中SO(3) imes SU(3)$规范群。SO(3)不破缺的N=3超对称AdS_4真空 imes SU(3)$,等同于$AdS_4上11维超引力的紧化 imes N^{010}$,提供了一个具有SU(3)$味对称性的三维超对称$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。我们找到了$(1+1)$维共形亏损上分别保持$(2,1)$和$(0,1)$超对称性的两类Janus解.具有$(2,1)$超对称性的解保持$SO(2) (2)第二节 次SO(2)子集SO(3) 当$SO(2)较大时,$(0,1)$超对称解是不变的 (2) imes SO(2)$对称性。
We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3) imes SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3) imes SU(3)$, identified with the compactification of eleven-dimensional supergravity on $AdS_4 imes N^{010}$, 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 $SO(2) imes SO(2) imes SO(2)subset SO(3) imes SU(3)$ symmetry while the $(0,1)$ supersymmetric solution is invariant under a larger $SO(2) imes SU(2) imes SO(2)$ symmetry.