Super Schrödinger in Super Conformal

We discuss (extended) super Schrödinger algebras which are subalgebras of the superconformal algebra psu(2,2|4). The Schrödinger algebra with two spatial dimensions can be embedded into so(4,2). In the superconformal case the embedded algebra may be enhanced to the so-called super Schrödinger algebra. In fact, we find an extended super Schrödinger subalgebra of psu(2,2|4). It contains, as well as generators of the original Schrödinger algebra, 24 supercharges (i.e., 3/4 of the original supersymmetries) and the generators of so(6). In particular, the 24 supercharges come from 16 rigid supersymmetries and half of 16 superconformal ones. Moreover, this superalgebra contains a smaller super Schrödinger subalgebra, which is a superextension of the original Schrödinger algebra and so(6) by eight supercharges (half of 16 rigid supersymmetries). It is still a subalgebra without so(6). We also discuss super Schrödinger subalgebras of the superconformal algebras osp(8|4) and osp(8∗|4).