Supersymmetric extension of Galilean conformal algebras
- 28 October 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 80 (8) , 086011
Abstract
The Galilean conformal algebra has recently been realized in the study of the nonrelativistic limit of the AdS/CFT conjecture. This was obtained by a systematic parametric group contraction of the parent relativistic conformal field theory. In this paper, we extend the analysis to include supersymmetry. We work at the level of the coordinates in superspace to construct the super-Galilean conformal algebra. One of the interesting outcomes of the analysis is that one is able to naturally extend the finite algebra to an infinite one. This looks structurally similar to the superconformal algebra in two dimensions, but is different. We also comment on the extension of our construction to cases of higher .
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