arXiv 1506.010452015-06hep-th

流向高维：M2膜上的一个新的强耦合相

Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes

Krzysztof Pilch, Alexander Tyukov, Nicholas P. Warner

备注：: 28 pages, 2 figures. Version 2 contains a discussion of new non-supersymmetric flows
DOI：: 10.1007/JHEP11(2015)170

摘要：

我们描述了一个单参数的新的全息RG流，从$AdS_4 \times S^7$开始，到$\widehat{AdS_5} \times {\cal B}_6$，其中${\cal B}_6$是共形的Kähler流形和$\widehat{AdS_5}$是庞加莱$AdS_5$与一个空间方向紧化和纤维化的${\cal B}_6$。新的解“向上流动”，从UV中M2膜上的$(2+1)$维共形场论到红外中相交M5膜上的$(3+1)$维场论。M2膜沿着流完全折叠成M5膜，并且$\widehat{AdS_5}$的庞加莱截面是M5膜的$(3+1)$维公共相交。在红外线中额外维度的出现暗示了M2膜和ABJM理论的一个新的强耦合阶段，在这个阶段中，带电孤子变得无质量。首先通过在$N \! = \! 8$规范超重力中找到四维$N \! = \! 2$超对称流来分析流解。这是推广到一个参数家庭的非超对称流。解的红外线极限在四维中似乎是非常奇异的，但上升到11维超引力是显著的和有规律的（直到轨道折叠）。我们的建设是一个非平凡的应用最近导出的隆起公式通量，远远超出了早期的建设的驻点解决方案。还分析了11维的超对称性，并显示了如何，超对称流，M2膜超对称性在紫外线偏振完全进入M5膜超对称性在红外线。

英文摘要：

We describe a one-parameter family of new holographic RG flows that start from $AdS_4 \times S^7$ and go to $\widehat{AdS_5} \times {\cal B}_6$, where ${\cal B}_6$ is conformal to a Kähler manifold and $\widehat{AdS_5}$ is Poincaré $AdS_5$ with one spatial direction compactified and fibered over ${\cal B}_6$. The new solutions "flow up dimensions," going from the $(2+1)$-dimensional conformal field theory on M2 branes in the UV to a $(3+1)$-dimensional field theory on intersecting M5 branes in the infra-red. The M2 branes completely polarize into M5 branes along the flow and the Poincaré sections of the $\widehat{AdS_5}$ are the $(3+1)$-dimensional common intersection of the M5 branes. The emergence of the extra dimension in the infra-red suggests a new strongly-coupled phase of the M2 brane and ABJM theories in which charged solitons are becoming massless. The flow solution is first analyzed by finding a four-dimensional $N \! = \! 2$ supersymmetric flow in $N \! = \! 8$ gauged supergravity. This is then generalized to a one parameter family of non-supersymmetric flows. The infra-red limit of the solutions appears to be quite singular in four dimensions but the uplift to eleven-dimensional supergravity is remarkable and regular (up to orbifolding). Our construction is a non-trivial application of the recently derived uplift formulae for fluxes, going well beyond the earlier constructions of stationary points solutions. The eleven-dimensional supersymmetry is also analyzed and shows how, for the supersymmetric flow, the M2-brane supersymmetry in the UV is polarized entirely into M5-brane supersymmetry in the infra-red.

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