More super Schrodinger algebras from psu(2,2|4)
Abstract
We discuss super Schrodinger algebras with less supercharges from N=4 superconformal algebra psu(2,2|4). Firstly N=2 and N=1 superconformal algebras are constructed from the psu(2,2|4) via projection operators. Then a super Schrodinger subalgebra is found from each of them. The one obtained from N=2 has 12 supercharges with su(2)^2 x u(1) and the other from N=1 has 6 supercharges with u(1)^3,. By construction, those are still subalgebras of psu(2,2|4). Another super Schrodinger algebra, which preserves 6 supercharges with a single u(1) symmetry, is also obtained from N=1 superconformal algebra su(2,2|1). In particular, it coincides with the symmetry of N=2 non-relativistic Chern-Simons matter system in three dimensions.
Cite
@article{arxiv.0806.3612,
title = {More super Schrodinger algebras from psu(2,2|4)},
author = {Makoto Sakaguchi and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:0806.3612},
year = {2010}
}
Comments
17pp; version to appear in JHEP