Extremal unitary representations of big N = 4 superconformal algebra
Abstract
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.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Publication details
- Journal / source
- Japanese journal of mathematics
- Volume
- 21
- Issue
- 1
- Pages
- 67–143
- Publication date
- 15 April 2026
- Language
- EN