Remark About Scaling Limit of ABJ Theory

Details Remark About Scaling Limit of ABJ Theory Remark About Scaling Limit of ABJ Theory

2009-02-24

arxiv.org/abs/0902.4122v2

JHEP 0904:112,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v2: references added

Scientific paper

10.1088/1126-6708/2009/04/112

We generalize the suggestion presented in arXiv:0806.3498 that the 3d N=8 superconformal SU(N) Chern-Simons-matter theory of Lorentzian Bagger-Lambert-Gustavson type (L-BLG) can be obtained through the scaling limit from 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 scaling limit 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 the same way as in arXiv:0811.1540 we can define a consistent limit that leads to SU(N) L-BLG theory together with U(M-N) Chern-Simons theory of level k.

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