Solvable confining gauge theories at large N

In this Letter we consider models with N U(1) gauge fields Aμn together with N Kalb–Ramond fields Bμνn in the large N limit. These models can be solved explicitly and exhibit confinement for a large class of bare actions. The confining phase is characterized by an approximate “low energy” vector gauge symmetry under which the Kalb–Ramond fields Bμνn transform. A duality transformation shows that confinement is associated with magnetic monopoles condensation.