We show that we can realize the surface state together with the bulk state of various types of topological matters in holographic context, by considering various types of Lorentz symmetry breaking. The fermion spectral functions in the presence of order show features like the gap, pseudo-gap, flat disk bands and the Fermi-arc connecting the two Dirac cones, which are familiar in Weyl and Dirac materials or Kondo lattice. Many of above features are associated with the zero modes whose presence is tied with a discrete symmetry of the interaction and these zero modes are associated with the surface states. Some of the order parameters in the bulk theory do not have an interpretation of symmetry breaking in terms of the boundary space, which opens the possibility of ‘an order without symmetry breaking’. We also pointed out that the spectrum of the symmetry broken phase mimics that of weakly interacting theory, although their critical version describe the strongly interacting system.

中文翻译：

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强相关系统的平带、费米弧和表面态的 Ginzberg-Landau-Wilson 理论

我们表明，通过考虑各种类型的洛伦兹对称性破缺，我们可以在全息上下文中实现各种类型拓扑物质的表面态和体态。存在有序的费米子谱函数显示出诸如间隙、伪间隙、平盘带和连接两个狄拉克锥的费米弧等特征，这些特征在外尔和狄拉克材料或近藤晶格中很常见。许多上述特征与零模式相关联，零模式的存在与相互作用的离散对称性相关，并且这些零模式与表面状态相关联。体理论中的一些有序参数在边界空间方面没有对对称性破缺的解释，这开启了“没有对称性破缺的有序性”的可能性。