二维临界格点配分函数一般张量网络表示中的Virasoro和卡茨-穆迪代数
Virasoro and Kac-Moody algebra in generic tensor network representations of 2d critical lattice partition functions
摘要：
在本文中，我们提出了一个通用的实现Virasoro发电机和Kac-Moody电流的通用张量网络表示的2维临界晶格模型。我们的建议，即使当量子哈密顿的晶格模型是不可用的，这是在许多数值计算涉及数值块的情况下。我们在二维伊辛模型和二聚体模型上测试了我们的建议，即使系统尺寸相当小，二聚体模型也能达到很高的精度。我们的方法利用一个小圆柱的本征态在一个较大的圆柱中产生后代态，暗示了不同大小的晶格之间的一些复杂的代数关系。
英文摘要：
In this paper, we propose a general implementation of the Virasoro generators and Kac-Moody currents in generic tensor network representations of 2-dimensional critical lattice models. Our proposal works even when a quantum Hamiltonian of the lattice model is not available, which is the case in many numerical computations involving numerical blockings. We tested our proposal on the 2d Ising model, and also the dimer model, which works to high accuracy even with a fairly small system size. Our method makes use of eigenstates of a small cylinder to generate descendant states in a larger cylinder, suggesting some intricate algebraic relations between lattice of different sizes.
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