F-theory from Dirichlet 3-branes

TL;DR

This paper derives an F-theory framework from the Dirichlet 3-brane in type IIB string theory, revealing a twelve-dimensional target space with elliptic fibration and explicit SL(2,Z) symmetry, offering insights into M-theory self-duality.

Contribution

It presents a novel derivation of F-theory starting from the Dirichlet 3-brane action, providing a geometric interpretation of its symmetries and structure.

Findings

Twelve-dimensional target space with (11,1) signature.

Explicit geometric interpretation of SL(2,Z) symmetry.

Insights into the self-duality of M-theory.

Abstract

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.