It is shown that the previously known N = 3 and N = 4 superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the latter case, by a contraction which depends on the central term, we obtain a new N = 4 superconformal algebra which contains an SU(2) X U(1)4 Kac-Moody subalgebra and has nonzero central extension.
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Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
North Carolina State Univ, Dept Math, Raleigh, NC USAShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Jing, Naihuan
Xu, Pengfa
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Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Xu, Pengfa
Zhang, Honglian
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Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China