Super Schroedinger algebra in AdS/CFT
May, 200812 pages
Published in:
- J.Math.Phys. 49 (2008) 102302
e-Print:
- 0805.2661 [hep-th]
DOI:
Report number:
- OIQP-08-04,
- NSF-KITP-08-69
View in:
Citations per year
Abstract: (arXiv)
We discuss (extended) super Schrodinger algebras which are subalgebras of the superconformal algebra psu(2,2|4). The Schrodinger 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 Schrodinger algebra. In fact, we find an extended super Schrodinger subalgebra of psu(2,2|4). It contains, as well as generators of the original Schrodinger 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 Schrodinger subalgebra, which is a superextension of the original Schrodinger algebra and so(6) by eight supercharges (half of 16 rigid supersymmetries). It is still a subalgebra without so(6). We also discuss super Schrodinger subalgebras of the superconformal algebras osp(8|4) and osp(8^*|4).- 02.40.Re
- 11.30.Pb
- 03.65.Ge
- 11.25.Hf
- algebra
- conformal field theory
- Schrodinger equation
- supersymmetry
- topology
- field theory: conformal
References(32)
Figures(0)