标题： 大$N=4$超共形代数的极值酉表示 显示英文标题

标题： Extremal unitary representations of big $N=4$ superconformal algebra

摘要： 在本文中，我们给出了对Neveu Schwarz和Ramond部分中大$N=4$超共形代数的极值(=无质量)单位最高权表示分类的详细证明，该分类可以在[5]中找到。 我们的结果与关于附属于基本李超代数的最小$W$-代数的单位最高权表示分类的一般猜想相一致，并完成了对大$N=4$超共形代数的证明。 显示英文摘要

摘要： In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big $N=4$ superconformal algebra which can be found in [5]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal $W$-algebras attached to basic Lie superalgebras formulated in [10], [11], and complete their proof for the big $N=4$ superconformal algebra.