
arXiv: math/9809004
This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some sense to another string theory compactified on a second space. This draws a connection between two quite different spaces. Mirror symmetry is an example of this. Here we discuss mirror symmetry and another ``heterotic/type II'' duality which relates vector bundles on a K3 surface to a Calabi-Yau threefold.
1- pages, AMS-LaTeX
High Energy Physics - Theory, superstring, FOS: Physical sciences, mirror symmetry, Calabi-Yau manifolds (algebro-geometric aspects), Mathematics - Algebraic Geometry, FOS: Mathematics, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG), Mathematical Physics, Minkowski space, 81T30, 14J32, 14J28, 14J60, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mathematical Physics (math-ph), Calabi-Yau threefold, K3-surfaces, High Energy Physics - Theory (hep-th), string duality, \(K3\) surfaces and Enriques surfaces, moduli spaces, \(3\)-folds, supergravity, heterotic string
High Energy Physics - Theory, superstring, FOS: Physical sciences, mirror symmetry, Calabi-Yau manifolds (algebro-geometric aspects), Mathematics - Algebraic Geometry, FOS: Mathematics, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG), Mathematical Physics, Minkowski space, 81T30, 14J32, 14J28, 14J60, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Mathematical Physics (math-ph), Calabi-Yau threefold, K3-surfaces, High Energy Physics - Theory (hep-th), string duality, \(K3\) surfaces and Enriques surfaces, moduli spaces, \(3\)-folds, supergravity, heterotic string
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