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arXiv · hep-th/9810219

Gauge Bundles and Born-Infeld on the Noncommutative Torus

C. Hofman·E. Verlinde
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Abstract

In this paper, we describe non-abelian gauge bundles with magnetic and electric fluxes on higher dimensional noncommutative tori. We give an explicit construction of a large class of bundles with nonzero magnetic 't 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.

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C. Hofman, E. Verlinde. 1998-10-29. Gauge Bundles and Born-Infeld on the Noncommutative Torus. https://doi.org/10.1016/s0550-3213(99)00062-0

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