On the multi-component Heisenberg supermagnet models in (1+1) and (2+1)-dimensions

Mengyang Gao, Zhaowen Yan
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Abstract

Abstract The Heisenberg supermagnet model is a significant supersymmetric integrable model which is the superextension of the Heisenberg ferromagnet model. This paper is concerned with the construction of the multi-component (1+1) and (2+1)-dimensional Heisenberg supermagnet models with two distinct quadratic constraints of the superspin variables. In terms of the multi-component gauge transformation, we construct their multi-component gauge equivalent counterparts, i.e., the multi-component (1+1) and (2+1)-dimensional super nonlinear Schrödinger equations and fermionic nonlinear Schrödinger equations, respectively.
(1+1)和(2+1)维多分量Heisenberg超磁体模型
海森堡超磁体模型是海森堡铁磁体模型的超扩展,是一个重要的超对称可积模型。本文讨论了具有两种不同二次约束的超自旋变量的多分量(1+1)和(2+1)维Heisenberg超磁体模型的构造。在多分量规范变换方面,我们分别构造了它们的多分量规范等价对应物,即多分量(1+1)和(2+1)维超非线性Schrödinger方程和费米子非线性Schrödinger方程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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