Super Schrödinger algebra in AdS/CFT

We discuss (extended) super-Schrödinger algebras obtained as 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 24 supercharges (i.e., 3/4 of the original supersymmetries) and the generators of so(6), as well as the generators of the original Schrödinger algebra. 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 supersymmetric extension of the original Schrödinger algebra and so(6) by eight supercharges (half of 16 rigid supersymmetries). It is still a subalgebra even if there are no so(6) generators. We also discuss super-Schrödinger subalgebras of the superconformal algebras, osp ( 8 ∣ 4 ) and osp ( 8 ∗ ∣ 4 ) , and find super Schrödinger subalgebras in the same way.