%0 Journal Article
%T Supersymmetric Extensions of Non-Relativistic Scaling Algebras
%A Makoto Sakaguchi
%A Kentaroh Yoshida
%J Symmetry
%D 2012
%I MDPI AG
%R 10.3390/sym4030517
%X An exciting subject in string theory is to consider some applications of the AdS/CFT correspondence to realistic systems like condensed matter systems. Since most of such systems are non-relativistic, an anisotropic scaling symmetry with the general value of dynamical critical exponent z plays an important role in constructing the gravity duals for non-relativistic field theories. Supersymmetric extensions of symmetry algebras including the anisotropic scaling are very helpful to consider holographic relations accurately. We give a short summary on the classification of superalgebras with the anisotropic scaling as subalgebras of the following Lie superalgebras, psu(2,2|4), osp(8|4) and osp (8*|4), which appear in the study of AdS/CFT in type IIB string and M theories. It contains supersymmetric extensions of Schr£żdinger algebra and Lifshitz algebra.
%K supersymmetry
%K non-relativistic limit
%K scale invariance
%K AdS/CFT
%U http://www.mdpi.com/2073-8994/4/3/517