Soliton solutions on noncommutative orbifold T2/Z4
Soliton solutions on noncommutative orbifold T2/Z4
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DOI：
10.1063/1.1643193
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发表时间：
2003-05
影响因子：
1.3
通讯作者：
Hui Deng;B. Hou;K. Shi;Zhanying Yang;R. Yue
中科院分区：
文献类型：
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作者：
Hui Deng;B. Hou;K. Shi;Zhanying Yang;R. Yue
本文利用推广的GHS构造法，在可积非对易轨道折叠T2/Z4上显式地构造了一系列投影子。它们包括两个具有Z4对称性的任意函数的积分。我们的表达式具有明显的Z4对称性。证明了该表达式包含了所有迹最小的投影算子，并且在它们的标准展开式中，系数算子的特征值函数关于自变量k和q是连续的.在积分表达式的基础上，交替地给出了导数表达式与积分表达式的相似核。由于投影子对应于非对易轨道上场论的孤子解，因此我们给出了一系列相应的孤子。
In this paper, we explicitly construct a series of projectors on integrable noncommutative orbifold T2/Z4 by extended GHS construction. They include integration of two arbitary functions with Z4 symmetry. Our expression possesses manifest Z4 symmetry. It is proven that the expression includes all projectors with minimal trace and in their standard expansions, the eigenvalue functions of coefficient operators are continuous with respect to the arguments k and q. Based on the integral expression, we alternately show the derivative expression in terms of the similar kernal to the integral one. Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a series of corresponding solitons.