一维超对称晶格模型连续极限的详细分析
Detailed analysis of the continuum limit of a supersymmetric lattice model in 1D
摘要：
在连续极限下，我们给出了一维链上巡游无自旋费米子的超对称模型的格点模型性质与场论性质的完全一致性。该模型的连续极限由中心荷c=1的$\mathcal{N}=(2,2)$超共形场论（SCFT）描述。我们确定的状态和运营商在晶格模型与领域的SCFT和我们有关的边界条件晶格部门的场论。我们使用的字典，我们在本文中开发，给一个强大的工具，研究超对称模型的基础上的谱流教学解释。最后，我们采用开发的机器来解释在Beccaria等人PRL 94：100401（2005）中提出的开链上的粒子密度的数值观察特性。
英文摘要：
We present a full identification of lattice model properties with their field theoretical counter parts in the continuum limit for a supersymmetric model for itinerant spinless fermions on a one dimensional chain. The continuum limit of this model is described by an $\mathcal{N}=(2,2)$ superconformal field theory (SCFT) with central charge c=1. We identify states and operators in the lattice model with fields in the SCFT and we relate boundary conditions on the lattice to sectors in the field theory. We use the dictionary we develop in this paper, to give a pedagogical explanation of a powerful tool to study supersymmetric models based on spectral flow. Finally, we employ the developed machinery to explain numerically observed properties of the particle density on the open chain presented in Beccaria et al. PRL 94:100401 (2005).
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