Branes at angles, torons, stability and supersymmetry

Abstract

We elucidate some properties of the relation between two T-dual systems in tori, branes at angles and branes wrapping the whole torus carrying fluxes. We analyze different features of these systems: charges, low energy spectrum, tadpole cancellation, symmetry groups, ... and the correspondence between the two viewpoints. Particular attention is paid to supersymmetry and stability conditions. While on the branes at angles side stability and supersymmetry can be expressed as conditions on the angles between the two branes at the intersection, on the dual side supersymmetry has to do with a correction to Hermite Yang-Mills and a modified notion of stability should be considered.

Figures (8)

• Figure 1: Schematic draw that represents the moduli space of complex structures. In each of these regions a different number of branes is stable. Lines represent transitions where pairs of branes decay to a more stable brane in the same homology class.
• Figure 2: Angle parameter space for a system of two branes wrapping 1-cycles on $T^2$.
• Figure 3: Angle parameter space for a system of two branes wrapping 2-cycles on $T^4$.
• Figure 4: Angle parameter space for a system of two branes wrapping 3-cycles on $T^6$.
• Figure 5: Angle parameter space on $T^6$ from Yang Mills perspective. The expected tetrahedron is deformed far away from the origin.