New N=1 Extended Superconformal Algebras with Two and Three Generators
High Energy Physics - Theory
2015-02-03 v1 General Relativity and Quantum Cosmology
Abstract
In this paper we consider extensions of the super Virasoro algebra by one and two super primary fields. Using a non-explicitly covariant approach we compute all SW-algebras with one generator of dimension up to 7 in addition to the super Virasoro field. In complete analogy to W-algebras with two generators most results can be classified using the representation theory of the super Virasoro algebra. Furthermore, we find that the SW(3/2, 11/2)-algebra can be realized as a subalgebra of SW(3/2, 5/2) at c = 10/7. We also construct some new SW-algebras with three generators, namely SW(3/2, 3/2, 5/2), SW(3/2, 2, 2) and SW(3/2, 2, 5/2).
Keywords
Cite
@article{arxiv.hep-th/9207072,
title = {New N=1 Extended Superconformal Algebras with Two and Three Generators},
author = {R. Blumenhagen and W. Eholzer and A. Honecker and R. Huebel},
journal= {arXiv preprint arXiv:hep-th/9207072},
year = {2015}
}
Comments
30 pages (Plain TeX), BONN-HE-92-02