U-Duality of Born-Infeld on the Noncommutative Two-Torus

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

Cited by in corpus (39)

• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• A Noncommutative M-Theory Five-brane
• A Consistent Noncommutative Field Theory: the Wess-Zumino Model
• Gauge Bundles and Born-Infeld on the Noncommutative Torus
• Intersecting brane solutions in string and M-theory
• Canonical Quantization of Open String and Noncommutative Geometry
• Tachyon Condensation on Noncommutative Torus
• A Note on Noncommutative Chern-Simons Theories
• Critical fields on the M5-brane and noncommutative open strings
• Morita Duality and Large-N Limits
• Compactified D=11 Supermembranes and Symplectic Non-Commutative Gauge Theories
• Perturbative Quantum Gravity on Complex Spacetime
• Worldvolume Uncertainty Relations for D-Branes
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds
• T-duality and Noncommutative DBI Action
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Symplectic Quantization of Open Strings and Noncommutativity in Branes
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Generalized Fuzzy Torus and its Modular Properties
• Spin(p+1,p+1) Covariant Dp-brane Bound States
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• On the Deformation of $\Lambda$-Symmetry in B-field Background
• Quantum Stabilization of Compact Space by Extra Fuzzy Space
• Fermionic anticommutators for open superstrings in the presence of antisymmetric tensor field
• Noncommutative Open strings, D-brane and Duality
• Nonequivalent Seiberg-Witten maps for noncommutative massive U(N) gauge theory
• Matrix Compactification On Orientifolds
• Orientifolds of Matrix theory and Noncommutative Geometry
• String Multiplets from an Invariant 2-Brane
• A Note on T-Duality, Open Strings in B-field Background and Canonical Transformations
• Twisted Conformal Field Theories and Morita equivalence
• Noncommutative fermions and Morita equivalence
• The Noncommutative U(N) Kalb-Ramond Theory
• Paired quantum Hall states on noncommutative two-tori
• SL(2;R) Duality of the Noncommutative DBI Lagrangian