2008/07/31 by Ofer Aharony, Oren Bergman, Daniel Louis Jafferis · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/11/043
published as JHEP 0811:043,2008 · 30 pages, 5 figures. v2: added references. v3: clarified claims about SUSY breaking in YM-CS theories
arxiv created 2008/10/06 · arxiv updated 2009/12/01
We consider two generalizations of the N=6 superconformal Chern-Simons-matter theories with gauge group U(N)xU(N). The first generalization is to N=6 superconformal U(M)xU(N) theories, and the second to N=5 superconformal O(2M)xUSp(2N) and O(2M+1)xUSp(2N) theories. These theories are conjectured to describe M2-branes probing C4/Zk in the unitary case, and C4/Dk in the orthogonal/symplectic case, together with a discrete flux, which can be interpreted as |M-N| fractional M2-branes localized at the orbifold singularity. The classical theories with these gauge groups have been constructed before; in this paper we focus on some quantum aspects of these theories, and on a detailed description of their M theory and type IIA string theory duals.