On the multi-component Heisenberg supermagnet models in (1+1) and (2+1)-dimensions-Reference-Cited by-同舟云学术

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

Published:2023-06-12 Issue:7 Volume:78 Page:597-604
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Gao Mengyang¹,Yan Zhaowen²

Affiliation:

1. School of Mathematical Sciences , Dalian University of Technology , Dalian , Liaoning Province , 116024 , China

2. School of Mathematical Sciences , Inner Mongolia University , Hohhot , 010021 , China

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.

Funder

National Natural Science Foundation of China

Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region

Natural Science Foundation of Inner Mongolia Autonomous Region

National Science Foundation of Qinghai Province

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2023-0078/pdf

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