U-Duality and Integral Structures

Abstract

We analyze the U-duality group for the case of a type II superstring compactified to four dimensions on a K3 surface times a torus. The various limits of this theory are considered which have interpretations as type IIA and IIB superstrings, the heterotic string, and eleven-dimensional supergravity, allowing all these theories to be directly related to each other. The integral structure which appears in the Ramond-Ramond sector of the type II superstring is related to the quantum cohomology of general Calabi-Yau threefolds which allows the moduli space of type II superstring compactifications on Calabi-Yau manifolds to be analyzed.

14 pages, latex once only (Revision has minor changes and an added reference)

References in corpus (4)

• Massless Black Holes and Conifolds in String Theory
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• The Heterotic String is a Soliton
• The Moduli Space of N = 2 Superconformal Field Theories

Cited by in corpus (34)

• Mirror Symmetry is T-Duality
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Some Comments On String Dynamics
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Four Dimensional String/String/String Triality
• Black Hole Condensation and the Unification of String Vacua
• K3 Surfaces and String Duality
• Some Relationships Between Dualities in String Theory
• Enhanced Gauge Symmetry in Type II String Theory
• Enhanced Gauge Symmetries and K3 Surfaces
• Enhanced Gauge Symmetries in Superstring Theories
• Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau 4-Folds
• String Dynamics at Strong Coupling
• On Four-Dimensional Compactifications of F-Theory
• An N=2 Dual Pair and a Phase Transition
• The web of Calabi-Yau hypersurfaces in toric varieties
• Mirror Symmetry for $G_2$-Manifolds: Twisted Connected Sums and Dual Tops
• Compactification, Geometry and Duality: N=2
• Duality in String Theory
• Mirror Symmetry and the Type II String
• Heterotic compactifications on SU(2)-structure backgrounds
• Unification of String Dualities
• An Analysis of Fluxes by Duality
• Supersymmetry and Dualities in various dimensions
• Type II Duality Symmetries in Six Dimensions
• (0,2) Noncritical Strings in Six Dimensions
• Noncommutative K3 Surfaces
• The Master Equation for the Prepotential-Pub
• Duality in Matrix Theory and Three Dimensional Mirror Symmetry
• Theoretical and Phenomenological Aspects of Superstring Theories
• More Dual String Pairs From Orbifolding
• F-theory duals of M-theory on $S^1/{\mathbb{Z}}_2\times T^4/{\mathbb{Z}}_N$
• Some comments on symmetric orbifolds of K3
• Hidden Finite Symmetries in String Theory and Duality of Dualities