ABJ(M) and Fractional M2's with Fractional M2 Charge
arXiv:0906.2703 · doi:10.1088/1126-6708/2009/12/016
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<k+1 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)-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.
16 pages, 3 eps figures
References in corpus (11)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Fractional M2-branes
- Seiberg Duality in Chern-Simons Theory
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
- D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
- Anomalous radius shift in AdS(4)/CFT(3)
- Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM
- Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
- Topology Change from (Heterotic) Narain T-Duality
- Eschenburg space as gravity dual of flavored N=4 Chern-Simons-matter theory
Cited by in corpus (10)
- Multiple Membranes in M-theory
- A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
- Type IIB construction of flavoured ABJ(M) and fractional M2 branes
- Aspects of ABJ Theory
- Non-anticommutative ABJ Theory
- ABJ Wilson loops and Seiberg Duality
- Branes and massive IIA duals of 3d CFT's
- Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
- Polyakov Loops for the ABJ Theory
- Duality Cascades and Parallelotopes