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arXiv · 0906.2703

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

Jarah Evslin·Stanislav Kuperstein
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Abstract

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 M M(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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Jarah Evslin, Stanislav Kuperstein. 2009-10-07. ABJ(M) and Fractional M2's with Fractional M2 Charge. https://doi.org/10.1088/1126-6708/2009/12/016

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