Holography for field theory solitons

Holography for field theory solitons
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场论孤子全息术

DOI:
10.1007/jhep07(2017)065
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发表时间:
2017
影响因子:
5.4
通讯作者:
A. Royston
A. Royston
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Domokos;A. Royston

文献摘要

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摘要我们将 AdS/dCFT 对应关系的著名 D 膜结构扩展到非阿贝尔缺陷。我们关注对应关系的大部分,并表明存在一种参数机制,其中低能量描述由两个近似解耦的扇区组成。这两个部分是周围时空中的引力和六维超对称杨-米尔斯理论。 Yang-Mills 理论是在严格的 AdS4 × S2 背景上定义的,并承认 16 个超对称性。我们还考虑了一个单参数变形,它产生了一系列关于渐近 AdS4 × S2 时空的 Yang-Mills 理论,这些理论在八种超对称性下是不变的。考虑到未来的全息应用,我们分析了 AdS4 × S2 上的 Yang-Mills 理论的真空结构和微扰谱,以及有限能量孤子的 BPS 方程组。最后,我们证明经典的 Yang-Mills 理论在两个球面上具有一致的截断,从而在 AdS4 上产生最大超对称的 Yang-Mills。
A bstractWe extend a well-known D-brane construction of the AdS/dCFT correspondence to non-abelian defects. We focus on the bulk side of the correspondence and show that there exists a regime of parameters in which the low-energy description consists of two approximately decoupled sectors. The two sectors are gravity in the ambient spacetime, and a six-dimensional supersymmetric Yang-Mills theory. The Yang-Mills theory is defined on a rigid AdS4 × S2 background and admits sixteen supersymmetries. We also consider a one-parameter deformation that gives rise to a family of Yang-Mills theories on asymptotically AdS4 × S2 spacetimes, which are invariant under eight supersymmetries. With future holographic applications in mind, we analyze the vacuum structure and perturbative spectrum of the Yang-Mills theory on AdS4 × S2, as well as systems of BPS equations for finite-energy solitons. Finally, we demonstrate that the classical Yang-Mills theory has a consistent truncation on the two-sphere, resulting in maximally supersymmetric Yang-Mills on AdS4.