Extremal unitary representations of big $N=4$ superconformal algebra
Representation Theory
2026-02-26 v2 Mathematical Physics
math.MP
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 superconformal algebra which can be found in [5]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal -algebras attached to basic Lie superalgebras formulated in [10], [11], and complete their proof for the big superconformal algebra.
Keywords
Cite
@article{arxiv.2507.10130,
title = {Extremal unitary representations of big $N=4$ superconformal algebra},
author = {Victor G. Kac and Pierluigi Möseneder Frajria and Paolo Papi},
journal= {arXiv preprint arXiv:2507.10130},
year = {2026}
}
Comments
Latex file, 54 pages, revised version, to appear in Japanese Journal of Mathematics