Supersymmetric Extension of Galilean Conformal Algebras

Details Supersymmetric Extension of Galilean Conformal Algebras Supersymmetric Extension of Galilean Conformal Algebras

2009-05-05

arxiv.org/abs/0905.0580v2

Phys.Rev.D80:086011,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; v2: 20 pages, Appendix on OPEs added, other minor changes, references added

Scientific paper

10.1103/PhysRevD.80.086011

The Galilean conformal algebra has recently been realised in the study of the non-relativistic 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 co-ordinates in superspace to construct the N=1 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 N=1 superconformal algebra in two dimensions, but is different. We also comment on the extension of our construction to cases of higher $N$.

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