论文标题
在1+1维自由费理论中多个间隔的模块化平行运输
Modular parallel transport of multiple intervals in 1+1-dimensional free fermion theory
论文作者
论文摘要
模块化平行运输是浆果相的概括，应用于模块化（纠缠）哈密顿量。在这里，我们启动了对分离场理论区域模块平行转运的研究。我们研究了1+1维自由费用理论的多间隔区域的运动学空间中的模块化平行转运 - 在少数几个理论中，在差异区域中模块化的汉密尔顿人是已知的少数理论之一。我们明确计算模块化平行传输的发生器，并解释为什么它们相对简单的形式遵循半侧模块化包含。我们还明确计算模块平行传输的曲率两种形式。我们将所有计算与全息理论中模块化平行转运的预期行为进行了对比，这强调了彼此不同的间隔的非本地术语的作用。
Modular parallel transport is a generalization of Berry phases, applied to modular (entanglement) Hamiltonians. Here we initiate the study of modular parallel transport for disjoint field theory regions. We study modular parallel transport in the kinematic space of multi-interval regions in the vacuum of 1+1-dimensional free fermion theory--one of the few theories for which modular Hamiltonians on disjoint regions are known. We compute explicitly the generators of modular parallel transport, and explain why their relatively simple form follows from a half-sided modular inclusion. We also compute explicitly the curvature two-form of modular parallel transport. We contrast all calculations with the expected behavior of modular parallel transport in holographic theories, emphasizing the role of non-local terms that couple distinct intervals.
