From 0-Branes to Torons

الأصل · EN

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 zero 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.