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Supersymmetric Extensions of Non-Relativistic Scaling Algebras
Department of Physics, Ibaraki University, Mito 310-8512, Japan
Department of Physics, Kyoto University, Kyoto 606-8502, Japan
* Author to whom correspondence should be addressed.
Received: 3 July 2012; in revised form: 7 August 2012 / Accepted: 8 August 2012 / Published: 24 August 2012
Abstract: 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 Schrödinger algebra and Lifshitz algebra.
Keywords: supersymmetry; non-relativistic limit; scale invariance; AdS/CFT
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Sakaguchi, M.; Yoshida, K. Supersymmetric Extensions of Non-Relativistic Scaling Algebras. Symmetry 2012, 4, 517-536.
Sakaguchi M, Yoshida K. Supersymmetric Extensions of Non-Relativistic Scaling Algebras. Symmetry. 2012; 4(3):517-536.
Sakaguchi, Makoto; Yoshida, Kentaroh. 2012. "Supersymmetric Extensions of Non-Relativistic Scaling Algebras." Symmetry 4, no. 3: 517-536.