U-Duality of Born-Infeld on the Noncommutative Two-Torus
arXiv:hep-th/9810116 · doi:10.1088/1126-6708/1998/12/010
Abstract
We discuss Born-Infeld on the noncommutative two-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(2,2;Z). The BPS mass even has a full SL(3,Z)xSL(2,Z) U-duality symmetry. The direct identification of the noncommutative parameter θwith the B-field modulus however seems to be problematic at finite volume.
19 pages, LaTeX. Reference and discussion on small volume added, errors corrected