Generalized symmetries of an N = 1 supersymmetric Boiti-Leon-Manna-Pempinelli system

The formal series symmetry approach （FSSA）, a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for...

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Published inChinese physics B Vol. 24; no. 5; pp. 148 - 152
Main Author 王建勇 唐晓艳 梁祖峰 楼森岳
Format Journal Article
LanguageEnglish
Published 01.05.2015
Subjects
Algebra
Concretes
Supersymmetry
Symmetry
交换性
对称代数
对称系统
广义对称性
无穷多
极限
超对称
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/24/5/050202

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Summary:The formal series symmetry approach （FSSA）, a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for supersymmetric systems. Taking the N = 1 supersymmetric Boiti-Leon-Manna-Pempinelli system as a concrete example, it is shown that the application of the extended FSSA to this supersymmetric system leads to a set of infinitely f（t）. Some interesting special cases of symmetry algebras are commutativity of higher order generalized symmetries. many generalized symmetries with an arbitrary function presented, including a limit case f（t） = 1 related to the
Bibliography:formal series symmetry approach, generalized symmetry, infinite dimensional Lie algebra, supersymmetric Boiti-Leon-Manna-Pempinelli system
The formal series symmetry approach （FSSA）, a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for supersymmetric systems. Taking the N = 1 supersymmetric Boiti-Leon-Manna-Pempinelli system as a concrete example, it is shown that the application of the extended FSSA to this supersymmetric system leads to a set of infinitely f（t）. Some interesting special cases of symmetry algebras are commutativity of higher order generalized symmetries. many generalized symmetries with an arbitrary function presented, including a limit case f（t） = 1 related to the
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/5/050202