Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
Mathematical Physics
2011-03-21 v1 math.MP
Abstract
Lowest weight modules, in particular, Verma modules over the N = 1,2 super Schrodinger algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma modules is analyzed via explicitly constructed singular vectors. The classification of the irreducible lowest weight modules is given for both massive and massless representations. A vector field realization of the N = 1, 2 super Schrodinger algebras is also presented.
Keywords
Cite
@article{arxiv.1009.0085,
title = {Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space},
author = {N. Aizawa},
journal= {arXiv preprint arXiv:1009.0085},
year = {2011}
}
Comments
19 pages, no figure