Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory

Details Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory

1996-02-13

arxiv.org/abs/hep-th/9602064v3

Nucl.Phys.B469:51-67,1996

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, harvmac (minor changes)

Scientific paper

10.1016/0550-3213(96)00173-3

D-brane actions depend on a world-volume abelian vector field and are described by Born-Infeld-type actions. We consider the vector field duality transformations of these actions. Like the usual 2d scalar duality rotations of isometric string coordinates imply target space T-duality, this vector duality is intimately connected with SL(2,Z)-symmetry of type IIB superstring theory. We find that in parallel with generalised 4-dimensional Born-Infeld action, the action of 3-brane of type IIB theory is SL(2,Z) self-dual. This indicates that 3-brane should play a special role in type IIB theory and also suggests a possibility of its 12-dimensional reformulation.

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