论文标题
带有磁通量的Riemann表面的矩阵正则化
The matrix regularization for Riemann surfaces with magnetic fluxes
论文作者
论文摘要
我们考虑在riemann表面上田地的矩阵正则化，该磁场夫妇夫妇衡量具有非磁通磁通量的磁场。我们表明，此类场被描述为矩阵正则化中的矩形矩阵。我们根据berezin-toeplitz量化明确地针对球体和圆环的情况构建矩阵正则化，并讨论了对属较高属的病例的可能概括。我们还讨论了作用于矩形矩阵的Laplacian的矩阵版本。
We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular matrices in the matrix regularization. We construct the matrix regularization explicitly for the case of the sphere and torus based on the Berezin-Toeplitz quantization, and also discuss a possible generalization to cases with higher genera. We also discuss the matrix version of the Laplacian acting on the rectangular matrices.
