标题： 非相对论理论中的全息类时纠缠熵 显示英文标题

标题： Holographic Timelike Entanglement Entropy in Non-relativistic Theories

摘要： 类时纠缠熵是一种复杂的信息度量，在全息理论中通过时空极值曲面的适当组合来实现。 这一度量对洛伦兹不变性的破坏非常敏感。 在这项工作中，我们研究了非相对论性理论中的类时纠缠熵，重点关注具有尺度破缺和类似Lifshitz的空间各向异性理论。 极值曲面的性质以及类时纠缠熵本身都严重依赖于理论的对称破缺参数。 因此，我们表明类时纠缠可以在很大程度上编码理论的稳定性和自然性。 此外，我们发现类时纠缠熵可以通过其实部的对数行为或者替代地通过其常数虚部来识别费米面，而这个常数值取决于理论的Lifshitz指数。 这为这种伪熵的虚部提供了新的解释。 另外，我们考察了时间纠缠熵，这是类时纠缠熵在欧几里得空间的扩展，并全面讨论了这些理论中它的性质。 显示英文摘要

摘要： Timelike entanglement entropy is a complex measure of information that is holographically realized by an appropriate combination of spacelike and timelike extremal surfaces. This measure is highly sensitive to Lorentz invariance breaking. In this work, we study the timelike entanglement entropy in non-relativistic theories, focusing on theories with hyperscaling violation and Lifshitz-like spatial anisotropy. The properties of the extremal surfaces, as well as the timelike entanglement entropy itself, depend heavily on the symmetry-breaking parameters of the theory. Consequently, we show that timelike entanglement can encode, to a large extent, the stability and naturalness of the theory. Furthermore, we find that timelike entanglement entropy identifies Fermi surfaces either through the logarithmic behavior of its real part or, alternatively, via its constant imaginary part, with this constant value depending on the theory's Lifshitz exponent. This provides a novel interpretation for the imaginary component of this pseudoentropy. Additionally, we examine temporal entanglement entropy, an extension of timelike entanglement entropy to Euclidean space, and provide a comprehensive discussion of its properties in these theories.