论文标题
$ \ mathcal {n} = 4 $ SYM的空间调制和超对称质量变形
Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
论文作者
论文摘要
我们研究了$ \ Mathcal {n} = 4 $，$ d = 4 $ sym理论的质量变形，它们在一个空间维度上进行空间调节并保留一些残留的超对称性。我们专注于$ \ MATHCAL {N} = 1^*$理论的概括，并表明适当选择的超对称质量也可以保留与共同尺寸的一个接口相关的$ d = 3 $ sonformal对称性。可以使用$ d = 5 $重力理论构建全息解决方案，这些理论是由$（6）$衡量的超级重力的一致的截断而产生的，因此是IIB型超级重力。对于保留$ d = 3 $超符号对称性的质量变形，我们构建了$ \ Mathcal {n} = 4 $ sym理论的丰富的Janus解决方案，该理论在接口的两侧都具有相同的耦合常数。这些解决方案的限制类别在接口的一侧带来了$ \ Mathcal {n} = 4 $ sym的RG接口解决方案，另一侧的leigh-strassler（ls）scft也在另一侧，也是LS理论的Janus解决方案。另一个限制解决方案是一种新的超对称$ ads_4 \ times s^1 \ times s^5 $ IIB类型的解决方案。
We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and show that it is also possible, for suitably chosen supersymmetric masses, to preserve $d=3$ conformal symmetry associated with a co-dimension one interface. Holographic solutions can be constructed using $D=5$ theories of gravity that arise from consistent truncations of $SO(6)$ gauged supergravity and hence type IIB supergravity. For the mass deformations that preserve $d=3$ superconformal symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM theory which have the same coupling constant on either side of the interface. Limiting classes of these solutions give rise to RG interface solutions with $\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS) SCFT on the other, and also to a Janus solution for the LS theory. Another limiting solution is a new supersymmetric $AdS_4\times S^1\times S^5$ solution of type IIB supergravity.
