Related papers: H-Monopoles, SL(2,Z) Duality and K3 Surfaces

The more recent paper "Generic strange duality for K3 surfaces" by the authors contains stronger results.

This paper has been withdrawn. A more satisfactory account of the results it was supposed to present will appear in a series of papers starting with hep-th/9712256 and hep-th/9712258

The primary purpose of these lecture notes is to explore the moduli space of type IIA, type IIB, and heterotic string compactified on a K3 surface. The main tool which is invoked is that of string duality. K3 surfaces provide a fascinating…

The SO(32) heterotic string on a K3 surface is analyzed in terms of the dual theory of a type II string (or F-theory) on an elliptically fibred Calabi-Yau manifold. The results are in beautiful agreement with earlier work by Witten using…

This paper has been superseded by hep-th/0307227.

This paper has been superseded by hep-ph/0510352.

In the first part we survey some of the known results and conjectures on compact Hyperkaehler (HK) manifolds. In the second part we presents a program which aims to show that HK four-folds whose second cohomology (with 4-tuple cup-product)…

This paper has been withdrawn by the authors.

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

This paper has been superseded by math.AG/0510287 and withdrawn by the author.

This has been withdrawn by the author. A rewrite of some of the material is currently in progress.

This paper is withdrawn because it is superseded by arXiv:0710.4284

The paper was withdrawn due to another possible solution to the dataset that is significantly different in nature. This issue will be addressed shortly and clarified with an additional data point.

This paper was withdrawn. It has been superseded by the latest version of hep-th/0107069.

Strange duality is shown to hold over generic $K3$ surfaces in a large number of cases. The isomorphism for elliptic $K3$ surfaces is established first via Fourier-Mukai techniques. Applications to Brill-Noether theory for sheaves on $K3$s…

This paper has been withdrawn by the authors. It has been superseded by hep-th/0309154

This manuscript has been withdrawn by the author. Some of the material has been included in the manuscript 'Embedded Monopoles' at hep-th/0106254.

This paper has been withdrawn.

This paper has been withdrawn. Its new version has been published.

This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.