English

Remark About Scaling Limit of ABJ Theory

High Energy Physics - Theory 2009-05-01 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0902.4122,
  title  = {Remark About Scaling Limit of ABJ Theory},
  author = {J. Kluson},
  journal= {arXiv preprint arXiv:0902.4122},
  year   = {2009}
}

Comments

14 pages, v2: references added