Noncommutative Open strings, D-brane and Duality

Abstract

We consider open strings ending on D-branes in the presence of constant metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is manifestly invariant under a global noncompact group; strikingly similar to toroidally compactified closed string Hamiltonian. The evolution equations for the string coordinates, $\{X^i\}$ and their dual partners, $\{Y_i\}$, are combined to obtain equations of motion invariant under the noncompact symmetry transformations. We show that one can start from a noncommutative theory, with nonvanishing G and B and mixed boundary conditions and then go over to a dual theory whose coordinates obey Dirichlet boundary conditions. It is possible to generate B-field by implementing the noncompact symmetry transformation. The connection between this duality transformation and Seiberg-Witten map is discussed.

Latex and 8pages,The discussion section is expanded, relation with Seiberg-Witten map is included. New references added

References in corpus (4)

• D-branes and Deformation Quantization
• Morita equivalence and T-duality (or B versus $\Theta$)
• Chiral Extensions of the WZNW Phase Space, Poisson-Lie Symmetries and Groupoids
• Recent Developments in String Theory

Cited by in corpus (4)

• Non-commutativity from the double sigma model
• Space/Time Noncommutativity in String Theories without Background Electric Field
• T-Duality Group for Open String Theory
• T-duality for open strings in the presence of backgrounds and noncommutativity