U-Duality and Integral Structures
High Energy Physics - Theory
2010-11-01 v2
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.
Cite
@article{arxiv.hep-th/9505025,
title = {U-Duality and Integral Structures},
author = {Paul S. Aspinwall and David R. Morrison},
journal= {arXiv preprint arXiv:hep-th/9505025},
year = {2010}
}
Comments
14 pages, latex once only (Revision has minor changes and an added reference)