Extremal unitary representations of big N = 4 superconformal algebra
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 [11]. 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 [15], [17], and complete their proof for the big N = 4 superconformal algebra.