(1,2)对数极小模型的二维跨接腹板
Two-dimensional spanning webs as (1,2) logarithmic minimal model
摘要:
本文考虑了有限圆柱几何形状的临界跨腹板格构模型。由于循环的存在,该模型是已知的生成树模型的推广,该模型属于具有中心荷的对数理论类$c=-2$。我们证明了在标度极限下,柱体两边闭边界条件下的配分函数的万有部分与周期边界条件下的辛费米子的性质一致,而一边开边闭边界条件下的配分函数的万有部分与反周期边界条件下的辛费米子的性质一致。
英文摘要:
A lattice model of critical spanning webs is considered for the finite cylinder geometry. Due to the presence of cycles, the model is a generalization of the known spanning tree model which belongs to the class of logarithmic theories with central charge $c=-2$. We show that in the scaling limit the universal part of the partition function for closed boundary conditions at both edges of the cylinder coincides with the character of symplectic fermions with periodic boundary conditions and for open boundary at one edge and closed at the other coincides with the character of symplectic fermions with antiperiodic boundary conditions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。