From 0-branes to torons Original Research Article

The moduli space of 0-branes on T4 gives a prediction for the moduli space of torons in U(n) super-Yang-Mills theory which preserve 16 supersymmetries. The 0-brane number corresponds to the greatest common denominator of the rank n, magnetic fluxes and the instanton number. This prediction is derived using U-duality. We explicitly check this prediction by analyzing U(n) bundles with non-zero first as well as second Chern classes. The argument is extended to deduce the moduli space of torons which preserve 8 supersymmetries. Parts of the discussion extend naturally to T2 and T3. Some of the U-dualities involved are related to Lorentz boosts along the eleventh direction in M-theory.