1998/10/29 by Christiaan Hofman, C. Hofman, Erik Verlinde +1 · 45 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Invariant (physics) #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #String (physics) #String theory #hep-th
paper · pdf · doi:10.1088/1126-6708/1998/12/010
published in Journal of High Energy Physics 1998(12), 010 (Springer Nature) · 19 pages, LaTeX. Reference and discussion on small volume added, errors corrected
arxiv created 1998/10/29 · openalex publication_date 1998/12/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.