Supersymmetric Extensions of Non-Relativistic Scaling Algebras

Symmetry

Makoto Sakaguchi¹ 

[1] Department of Physics, Ibaraki University, Mito 310-8512, Japan;

关键词: supersymmetry;    non-relativistic limit;    scale invariance;    AdS/CFT;   

DOI  :  10.3390/sym4030517

来源: mdpi

【 摘 要 】

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 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 Schrödinger algebra and Lifshitz algebra.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.