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We generalize the suggestion presented in arXiv:0806.3498 that the 3d N=8superconformal SU(N) Chern-Simons-matter theory of LorentzianBagger-Lambert-Gustavson type (L-BLG) can be obtained through the scaling limitfrom N=6 superconformal U(N)xU(N) Chern-Simons-matter theory of Aharony,Bergman, Jafferis and Maldacena (ABJM) to the case when we study the scalinglimit of N=6 superconformal U(M)xU(N) Chern-Simons-matter theory of Aharony,Bergman and Jafferis (ABJ). We show that if we extend the ABJ theory in thesame way as in arXiv:0811.1540 we can define a consistent limit that leads toSU(N) L-BLG theory together with U(M-N) Chern-Simons theory of level k.

Remark About Scaling Limit of ABJ Theory