On a integrable deformations of Heisenberg supermagnetic model
On a integrable deformations of Heisenberg supermagnetic model
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DOI：
10.1080/14029251.2016.1199495
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发表时间：
2016-06
影响因子：
0.7
通讯作者：
Zhaowen Yan;Gegenhasi
中科院分区：
文献类型：
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作者：
Zhaowen Yan;Gegenhasi
海森伯超磁体模型是海森伯铁磁体模型的超对称推广，是一个重要的可积系统。我们考虑了海森堡超磁体模型在两个约束下的形变。对于S ∈ USPL（2/1）/S（L（1/1）× U（1））和2，S2 = S。S2 = 3S − 2I S ∈ USPL（2/1）/S（U（2）× U（1））。通过规范变换，我们构造了相应的规范等价物，即，超广义Hirota方程和Gramman奇非线性薛定谔方程。
The Heisenberg supermagnet model which is the supersymmetric generalization of the Heisenberg ferromagnet model is an important integrable system. We consider the deformations of Heisenberg supermagnet model under the two constraint 1. S2 = S for S ∈ USPL(2/1)/S(L(1/1) × U(1)) and 2. S2 = 3S − 2I S ∈ USPL(2/1)/S(U(2) × U(1)). By means of the gauge transformation, we construct the gauge equivalent counterparts, i.e., the super generalized Hirota equation and Gramman odd nonlinear Schrödinger equation.