Volume 23, Issue 3, June 2016, Pages 335 - 342
On a integrable deformations of Heisenberg supermagnetic model
Authors
Zhaowen Yan
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China,yanzw@imu.edu.cn
Gegenhasi*
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China,gegenhasiimu@sina.com
∗Corresponding author.
Corresponding Author
Gegenhasi
Received 16 February 2016, Accepted 7 April 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1199495How to use a DOI?
- Keywords
- Heisenberg Supermagnet Model; Gauge Equivalence; Supersymmetry
- Abstract
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.
- Copyright
- © 2016 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Zhaowen Yan AU - Gegenhasi PY - 2021 DA - 2021/01/06 TI - On a integrable deformations of Heisenberg supermagnetic model JO - Journal of Nonlinear Mathematical Physics SP - 335 EP - 342 VL - 23 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1199495 DO - 10.1080/14029251.2016.1199495 ID - Yan2021 ER -