F-theory from Dirichlet 3-branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages. Latex file. Changes: A Note Added; references updated, 2 more added; text changed to refer to new references; and ch

Scientific paper

10.1016/S0370-2693(96)01091-X

Starting from the type IIB Dirichlet 3-brane action, we obtain a Nambu-Goto action. It is interpreted as the world volume action of a fundamental 3-brane, and its target space theory as F-theory. The target space is twelve dimensional, with signature $(11, 1)$. It is an elliptic fibration over a ten dimensional base space. The $SL(2, Z)$ symmetry of type IIB string has now an explicit geometric interpretation. Also, one gets a glimpse of the conjectured self-duality of M-theory.

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