Gauge bundles and Born-Infeld on the non-commutative torus Original Research Article

In this paper, we describe non-abelian gauge bundles with magnetic and electric fluxes on higher-dimensional non-cummutative tori. We give an explicit construction of a large class of bundles with non-zero magnetic ʹt Hooft fluxes. We discuss Morita equivalence between these bundles. The action of the duality is worked out in detail for the four-torus. As an application, we discuss Born-Infeld on this torus, as a description of compactified string theory. We show that the resulting theory, including the fluctuations, is manifestly invariant under the T-duality group SO(4,4;Z). The U-duality invariant BPS mass-formula is discussed shortly. We comment on a discrepancy of this result with that of a recent calculation.