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Dual string pairs with \(N=1\) and \(N=2\) supersymmetry in four dimensions. (English) Zbl 0957.81590
Summary: Based on a simple adiabatic argument and by considering the heterotic string counterpart of certain symmetries of Type II superstrings such as \((-1)^FL\) and orientation reversal, we construct orbifold candidates for dual pairs of heterotic and Type II string theories with \(N=2\) and \(N=1\) supersymmetry. We also analyze from a similar point of view the K3 fibrations that enter in recently proposed \(N=2\) candidates and use this structure together with certain orientation-reversing symmetries to construct \(N=1\) dual pairs. These pairs involve generalizations of Type I vacua which can be equivalent to \(E_8\times E_8\) heterotic strings, while standard Type I vacua are related to SO(32).

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J28 \(K3\) surfaces and Enriques surfaces
32G81 Applications of deformations of analytic structures to the sciences
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