D-Branes and Twelve Dimensions

Abstract

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.

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

Cited by in corpus (7)

• Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism
• Duality-Symmetric Three-Brane and its Coupling to Type IIB Supergravity
• An approach to F-theory
• Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions
• Supergravity in Twelve Dimension
• On effective field theory of F-theory beyond leading order
• Geometric torsion, 4-form, Riemann duals and Quintessence