Type II Duality Symmetries in Six Dimensions

Abstract

We discuss the different discrete duality symmetries in six dimensions that act within and between (i) the 10-dimensional heterotic string compactified on $T^4$, (ii) the 10-dimensional Type IIA string compactified on $K3$ and (iii) the 10-dimensional Type IIB string compactified on $K3$. In particular we show that the underlying group-theoretical structure of these discrete duality symmetries is determined by the proper cubic group $\mathcal{C}/{\mathbb{Z}}_2$. Our group theoretical interpretation leads to simple rules for constructing the explicit form of the different discrete Type II duality symmetries in an arbitrary background. The explicit duality rules we obtain are applied to construct dual versions of the 6-dimensional chiral null model.

31 pages, 6 figures, epsfig.sty, latex

References in corpus (2)

• About a class of exact string backgrounds
• U-Duality and Integral Structures

Cited by in corpus (13)

• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Black Holes and Solitons in String Theory
• Fuzzballs with internal excitations
• Intersecting D-Branes in ten and six dimensions
• Resonance estimates for single spin asymmetries in elastic electron-nucleon scattering
• Gauged Supergravity from Dimensional Reduction
• Massive Dualities in Six Dimensions
• Massive T-duality in six dimensions
• More on Four-Dimensional Extremal Black Holes
• Non-commutativity and Open Strings Dynamics in Melvin Universes
• Microscopic Formulation of Puff Field Theory
• A Massive S-duality in 4 dimensions