Baryonic symmetries and M5 branes in the AdS4/CFT3 correspondence
Baryonic symmetries and M5 branes in the AdS4/CFT3 correspondence
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AdS4/CFT3 对应中的重子对称性和 M5 膜
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
J. Sparks
中科院分区：
文献类型：
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作者：
Nessi Benishti;D. Rodríguez;J. Sparks
我们研究了在AdS 4/CFT 3对应下M2膜在Calabi-Yau四重奇点上与Betti多重态对偶的U（1）对称性。AdS 4中矢量场的边界条件的分析允许选择，其中可以考虑在这种对称性下携带非零电荷的包裹M5膜态。我们开始集中在孤立的环面奇点没有消失的六个周期，并详细研究了Q111上的锥。所考虑的边界条件与规范群为U（1）2 × SU（N）4的CFT是对偶的。我们发现协议的规范不变重子型运营商在这个理论和wrappedM 5膜态的频谱之间。此外，这些对称性自发破缺的真空物理学与涉及奇点解析的adual引力分析精确匹配，在那里我们能够匹配重子算子、戈德斯通玻色子和全局弦的凝聚体。我们还更一般地认为，具有六个周期解的理论预计会受到M5膜瞬子的非微扰修正。给出了瞬子作用量与可归一化调和二形式之间的一般关系式，并对Q222的例子进行了显式计算。这种瞬子的全息解释目前还不清楚。
We study U(1) symmetries dual to Betti multiplets in the AdS4/CFT3 correspondence for M2 branes at Calabi-Yau four-fold singularities. Analysis of the boundary conditions for vector fields in AdS4 allows for a choice where wrapped M5 brane states carrying non-zero charge under such symmetries can be considered. We begin by focusing on isolated toric singularities without vanishing six-cycles, and study in detail the cone over Q111. The boundary conditions considered are dual to a CFT where the gauge group is U(1)2 × SU(N)4. We find agreement between the spectrum of gauge-invariant baryonic-type operators in this theory and wrappedM5brane states. Moreover, the physics of vacua in which these symmetries are spontaneously broken precisely matches adual gravity analysis involving resolutions of the singularity, where we are able to match condensates of the baryonic operators, Goldstone bosons and global strings. We also argue more generally that theories where there solutions have six-cycles are expected to receive non-perturbative corrections from M5 brane instantons. We give a general formula relating the instanton action to normalizable harmonic two-forms, and computeit explicitly for the Q222 example. The holographic interpretation of such instantons is currently unclear.
AdS/CFT 对应中的对称破缺真空和重子凝聚
影响因子：
5
作者：
Martelli D
通讯作者：
Martelli D
重子分支和利玛窦平克勒锥体的分辨率
影响因子：
5.4
作者：
Martelli D
通讯作者：
Martelli D
非正则 Ricci 平克勒锥体的分辨率
影响因子：
1.5
作者：
Martelli D
通讯作者：
Martelli D