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Mirror Symmetry and Moduli Spaces of Superconformal Field Theories

In: Proceedings of the International Congress of Mathematicians

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  • David R. Morrison

    (Duke University, Department of Mathematics)

Abstract

Mirror symmetry is the remarkable discovery in string theory that certain “mirror pairs” of Calabi-Yau manifolds apparently produce isomorphic physical theories — related by an isomorphism that reverses the sign of a certain quantum number — when used as backgrounds for string propagation [13], [19], [10], [16]. The sign reversal in the isomorphism has profound effects on the geometric interpretation of the pair of physical theories. This leads to startling predictions that certain geometric invariants of one Calabi-Yau manifold (essentially the numbers of holomorphic 2-spheres of various degrees) should be related to a completely different set of geometric invariants of the mirror partners (“period” integrals of holomorphic forms).

Suggested Citation

  • David R. Morrison, 1995. "Mirror Symmetry and Moduli Spaces of Superconformal Field Theories," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 1304-1314, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_125
    DOI: 10.1007/978-3-0348-9078-6_125
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