Gauge Bundles and Born-Infeld on the Noncommutative Torus
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.
Keywords
Cite
@article{arxiv.hep-th/9810219,
title = {Gauge Bundles and Born-Infeld on the Noncommutative Torus},
author = {C. Hofman and E. Verlinde},
journal= {arXiv preprint arXiv:hep-th/9810219},
year = {2009}
}
Comments
22 pages, LaTeX2e. Small errors corrected