Super Schroedinger algebra in AdS/CFT

Journal Article · Wed Oct 15 04:00:00 EDT 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2998205· OSTI ID:21175672

Sakaguchi, Makoto ^[1]; Yoshida, Kentaroh ^[2]

---

1. Okayama Institute for Quantum Physics, 1-9-1 Kyoyama, Okayama 700-0015 (Japan)
2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, Santa Barbara, California 93106 (United States)

We discuss (extended) super-Schroedinger algebras obtained as subalgebras of the superconformal algebra psu(2,2|4). The Schroedinger 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-Schroedinger algebra. In fact, we find an extended super-Schroedinger 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 Schroedinger algebra. In particular, the 24 supercharges come from 16 rigid supersymmetries and half of 16 superconformal ones. Moreover, this superalgebra contains a smaller super-Schroedinger subalgebra, which is a supersymmetric extension of the original Schroedinger 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-Schroedinger subalgebras of the superconformal algebras, osp(8|4) and osp(8*|4), and find super Schroedinger subalgebras in the same way.

• OSTI ID: 21175672
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 49; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ANTI DE SITTER SPACE
CONFORMAL INVARIANCE
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
SUPERSYMMETRY
TOPOLOGY