D-Branes and Twelve Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, LaTex, references added, version to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(97)00247-2

We study the D-brane solutions to type IIB superstring in ten dimensions and find interpretation in terms of compactification of a twelve dimensional three-brane of (a specific) F-theory on a torus $T^2$. In this frame-work, there also exist a two-brane which may be argued to be equivalent to the three-brane by utilizing the electric-magnetic duality in eleven dimensions. In this context, we propose for the existence of an isometry in one of the transverse directions to the three-brane in F-theory. As a consequence the two-brane may be identified with the three-brane in twelve dimensions itself. The twelve dimensional picture of D-branes in type IIB theory suggests for the reformulation of type IIB superstring in terms of three-brane of F-theory.

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A. Holfing

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