Lectures on Mirror Symmetry

Abstract

We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds with an emphasis on its applications e.g. for the computation of Yukawa couplings. We introduce all necessary concepts and tools such as the basics of toric geometry, resolution of singularities, construction of mirror pairs, Picard-Fuchs equations, etc. and illustrate all of this on a non-trivial example. Extended version of a lecture given at the Third Baltic Student Seminar, Helsinki September 1993

LMU-TPW-94-02, 45 pages, harvmac

References in corpus (7)

• Topological Field Theory and Rational Curves
• Multiple Mirror Manifolds and Topology Change in String Theory
• Picard-Fuchs Equations and Special Geometry
• Comment on the Generation Number in Orbifold Compactifications
• Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
• All Abelian Symmetries of Landau-Ginzburg Potentials
• Critical String Vacua from Noncritical Manifolds: A Novel Framework for String Compactification

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• A symplectic rearrangement of the four dimensional non-geometric scalar potential
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• Comments on M${}_{24}$ representations and $C{Y}_3$ geometries
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