A bstract We analyze the global symmetries and anomalies of 4d $$ \mathcal{N} N = 1 field theories that arise from a stack N M5-branes probing class flux backgrounds. These backgrounds consist resolved ℂ 2 / ℤ k singularity fibered over smooth Riemann surface genus g ≥ 2, supported by non-trivial G 4 -flux co...

We study dimensional reduction of M5 branes on a circle bundle when the supersymmetry parameter is not constant along circle. When gauge group Abelian and fields appear quadratically in Lagrangian, we can always obtain supersymmetric five-dimensional theory by keeping fermionic nonzero modes that match with corresponding parameter, zero for bosonic as usual. But non-Abelian generalization be fo...

If an M2–brane intersects an M5–brane the canonical Wess–Zumino action is plagued by a Dirac–anomaly, i.e. a non–integer change of the action under a change of Dirac–brane. We show that this anomaly can be eliminated at the expense of a gravitational anomaly supported on the intersection manifold. Eventually we check that the last one is cancelled by the anomaly produced by the fermions present...

We describe how to construct solutions to 11-dimensional supergravity corresponding to M5-branes wrapped on holomorphic 2-cycles embedded in C. These solutions preserve N = 1 supersymmetry in four dimensions. In the near-horizon limit they are expected to be dual to N = 1 large N gauge theories in four dimensions by Maldacena’s duality. USITP-00-19 DTP/00/111 hep-th/0012194 email: brinne@physto...

The fivebrane of M theory – the M5-brane – is an especially interesting object. It plays a central role in a geometric understanding of the Seiberg–Witten solution of N=2 D=4 gauge theories as well as in certain new 6d quantum theories. The low energy effective action is an interacting theory of a (2,0) tensor multiplet. The fact that this multiplet contains a two-form gauge field with a self-d...

We study the geometry of M5-branes wrapping a 2-cycle which is Special Lagrangian with respect to a specific complex structure in a CalabiYau two-fold. Using methods recently applied to the three-fold case, we are again able find a characterization of the geometry, in terms of a nonintegrable almost complex structure and a (2,0) form. This time, however, due to the hyper-Kähler nature of the un...