ADE型$\mathcal{N}=2$ Landau-Ginzburg模型的数值研究
Numerical study of ADE-type $\mathcal{N}=2$ Landau--Ginzburg models
摘要：
在极低的能量尺度下，人们相信二维$\mathcal{N}=2$ Wess-Zumino模型成为$\mathcal{N}=2$超共形场论（SCFT）。我们研究这个理论猜想的Landau-Ginzburg（LG）描述的数值模拟的基础上的超时空不变的动量截断正则化。首先，从能量-动量张量的两点函数出发，我们测量了ADE极小模型的中心荷。第二，我们发展了一种取连续极限的方法，并对$A$型极小模型的标度维数进行了精确的测量。所有的结果都显示了与所得到的LG/SCFT对应一致的相干图象。
英文摘要：
At an extremely low-energy scale, it is believed that the two-dimensional $\mathcal{N}=2$ Wess--Zumino model becomes an $\mathcal{N}=2$ superconformal field theory (SCFT). We study this theoretical conjecture of the Landau--Ginzburg (LG) description by numerical simulations based on a supersymmetric-invariant momentum-cutoff regularization. First, from the two-point function of the energy-momentum tensor, we measure the central charge of the ADE minimal models. Second, we develop a method to take the continuum limit, and perform a precision measurement of the scaling dimension in the $A$-type minimal model. All our results show a coherence picture being consistent with the conjectured LG/SCFT correspondence.
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。
