/ 97 03 02 9 v 2 1 3 Ju n 19 97 QMW - PH - 97 - 1 A Mirror Pair of Calabi - Yau Fourfolds in Type II String Theory
نویسنده
چکیده
We give some simple examples of mirror Calabi-Yau fourfolds in Type II string theory. These are realised as toroidal orbifolds. Motivated by the Strominger, Yau, Zaslow argument we give explicitly the mirror transformation which maps Type IIA/IIB on such a four-fold to Type IIA/IIB on the mirror. The mirrors are related by the inclusion/exclusion of discrete torsion. Implicit in the result is a confirmation of mirror symmetry to genus g in the string path integral. Finally, by considering the relationship between M-theory and Type IIA theory, we show how in M-theory on mirror Calabi-Yau fourfolds, mirror symmetry exchanges the Coulomb branch with (one of the) Higgs branches of the theory. This result is relevant to duality in N = 2 supersymmetric gauge theories in three dimensions.
منابع مشابه
2 v 1 3 0 Se p 19 97 1 N = 1 Dual String Pairs and their Modular Superpotentials
We review the duality between heterotic and F–theory string vacua with N = 1 space-time supersymmetry in eight, six and four dimensions. In particular, we discuss two chains of four-dimensional F–theory/heterotic dual string pairs, where F–theory is compactified on certain elliptic Calabi-Yau fourfolds, and the dual heterotic vacua are given by compactifications on elliptic Calabi-Yau threefold...
متن کاملA Mirror Pair of Calabi - Yau Fourfolds in Type II String Theory .
We give some simple examples of mirror Calabi-Yau fourfolds in Type II string theory. These are realised as toroidal orbifolds. Motivated by the Strominger, Yau, Zaslow argument we give explicitly the mirror transformation which maps Type IIA/IIB on such a four-fold to Type IIA/IIB on the mirror. The mirrors are related by the inclusion/exclusion of discrete torsion. Implicit in the result is a...
متن کاملar X iv : h ep - t h / 97 01 16 2 v 1 2 8 Ja n 19 97 hep - th / 9701162 , IASSNS - HEP - 97 - 3 VECTOR BUNDLES AND F THEORY
To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we develop techniques to describe these bundles, and make several detailed comparisons between the heterotic string and F theory.
متن کاملar X iv : h ep - t h / 97 01 16 2 v 2 2 8 Fe b 19 97 hep - th / 9701162 , IASSNS - HEP - 97 - 3 VECTOR BUNDLES AND F THEORY
To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we develop techniques to describe these bundles, and make several detailed comparisons between the heterotic string and F theory.
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