Ren-integrable and ren-symmetric integrable systems  

作　　者：S Y Lou 

机构地区：[1]School of Physical Science and Technology,Ningbo University,Ningbo,315211,China

出　　处：《Communications in Theoretical Physics》2024年第3期62-69,共8页理论物理通讯（英文版）

基　　金：sponsored by the National Natural Science Foundation of China(Nos.12235007,11975131)。

摘　　要：A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is proposed.Ren-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 on.Supersymmetry 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 ren-symmetry.In 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 systems.Training examples of ren-integrable KdV-type systems and ren-symmetric KdV equations are explicitly given.

关 键 词：SYMMETRIES integrable systems anyon physics extended supersymmetry ren-symmetry 

分 类 号：O413[理学—理论物理]