ABJ(M) and fractional M2's with fractional M2 charge
Jarah Evslin; Stanislav Kuperstein
Журнал:
Journal of High Energy Physics
Дата:
2009-12-01
Аннотация:
Recently Aharony, Bergman and Jafferis (ABJ) have argued that a 3d U(N+M)<sub>k</sub> × U(N)<sub>−k</sub> Chern-Simons gauge theory may have a vacuum with N = 6 supersymmetry only if M≤k and if a certain period of the B-field in a IIA background is quantized. We use a braneology argument to argue that N = 3 supersymmetry may be preserved under the weaker condition that 2Nk≥M(M−k) 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<sub>4</sub>, the M5-brane charge running relies on the fact that it wraps a torsion homology cycle.
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