Noncommutative Open strings, D-brane and Duality

Details Noncommutative Open strings, D-brane and Duality Noncommutative Open strings, D-brane and Duality

2000-05-12

arxiv.org/abs/hep-th/0005113v2

Phys.Lett. B488 (2000) 410-416

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(00)00892-3

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.

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