Ren-integrable and ren-symmetric integrable systems
作者机构:School of Physical Science and TechnologyNingbo UniversityNingbo315211China
出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))
年 卷 期:2024年第76卷第3期
页 面:62-69页
核心收录:
学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学]
基 金:sponsored by the National Natural Science Foundation of China(Nos.12235007 11975131)
主 题:symmetries integrable systems anyon physics extended supersymmetry ren-symmetry
摘 要:A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is ***-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such as super-symmetric quantum mechanics,super-symmetric gravity,super-symmetric string theory,super-symmetric integrable systems and so *** and Grassmann numbers are,in some sense,dual conceptions,and it turns out that these conceptions coincide for the ren situation,that is,a similar conception of ren-number(R-number)is devised for *** particular,some basic results of the R-number and ren-symmetry are exposed which allow one to derive,in principle,some new types of integrable systems including ren-integrable models and ren-symmetric integrable *** examples of ren-integrable KdV-type systems and ren-symmetric KdV equations are explicitly given.