Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography
Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography
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DOI：
10.1103/physrevd.97.106005
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发表时间：
2018-01
影响因子：
5
通讯作者：
S. Grozdanov;N. Poovuttikul
中科院分区：
文献类型：
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作者：
S. Grozdanov;N. Poovuttikul
在这项工作中，我们展示了如何与保守数量的动态缺陷（字符串，域壁等）的状态。可以被理解为拥有广义的全球对称性，即使这些对称性的微观起源是未知的。利用这一思想，我们建立了一个有效的理论的2 +1$维流体状态与两个垂直的浸没弹性线缺陷。当缺陷的数目在每个集合中独立地守恒时，则该状态具有两个单形对称性。通常情况下，这种粘弹性状态被描述为流体耦合到戈德斯通玻色子与自发破坏的平移对称性所造成的基本微观结构，其主要特征是一个横向的声音模式。在线性，非耗散水平，我们验证，我们的理论，完全基于对称性原则，是等效的粘弹性理论。然后，我们建立了一个简单的全息对偶这样一个国家包含动力学引力和两个两种形式的规范场，并用它来研究其流体动力学和高能光谱特性，其特征在于非流体动力学，间隙模式。基于横向两点函数的全息分析，我们研究了体理论和有效边界理论的低能预言之间的一致性。全息字典的各种新功能解释的理论与更高形式的对称性，如混合边界条件修改的准正规模式处方，依赖于运行耦合的边界双迹变形。此外，我们研究的细节，低能量和高能量的部分，取决于温度，线缺陷密度和重正化组规模（尺寸嬗变）的频谱。
In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalised global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a $2+1$-dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure-the principle feature of which is a transverse sound mode. At the linear, non-dissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterised by non-hydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary are explained in theories with higher-form symmetries, such as the mixed-boundary-condition modification of the quasinormal mode prescription that depends on the running coupling of the boundary double-trace deformations. Furthermore, we examine details of low- and high-energy parts of the spectrum that depend on temperature, line defect densities and the renormalisation group scale (dimensional transmutation).