ABJ(M) and Fractional M2's with Fractional M2 Charge

Details ABJ(M) and Fractional M2's with Fractional M2 Charge ABJ(M) and Fractional M2's with Fractional M2 Charge

2009-06-15

arxiv.org/abs/0906.2703v2

JHEP 0912:016,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 3 eps figures

Scientific paper

10.1088/1126-6708/2009/12/016

Recently Aharony, Bergman and Jafferis (ABJ) have argued that a 3d U(N+M)xU(N) Chern-Simons gauge theory at level (k,-k) may have a vacuum with N=6 supersymmetry only if MM(M-k)-1 with no restriction on the B-field. IIB brane cartoons and 11d supergravity solutions corresponding to N=3 vacua that do not preserve N=6 supersymmetry are argued to represent cascading gauge theories, generalizing the N=2 Seiberg duality conjectured by Giveon and Kutasov. While as usual the M2-brane charge runs as a result of the twisted Bianchi identity for *G_4, the M5-brane charge running relies on the fact that it wraps a torsion homology cycle.

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