Detailed analysis of the continuum limit of a supersymmetric lattice model in 1D

作者：Huijse L^*

来源：Journal of Statistical Mechanics: Theory and Experiment , 2011, P04004.

DOI：10.1088/1742-5468/2011/04/P04004

• conformal field theory (theory)
• spin chains
• ladders and planes (theory)
• correlation functions (theory)
• finite-size scaling

We present a full identification of lattice model properties with their field theoretical counterparts 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 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 (Huijse 2008 Phys. Rev. Lett. 101 146406). Finally, we employ the developed machinery to explain numerically observed properties of the particle density on the open chain presented in Beccaria and De Angelis (2005 Phys. Rev. Lett. 94 100401).

• 出版日期2011-4