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Duality between the webs of heterotic and type II vacua. (English) Zbl 0947.81054
Summary: We discuss how transitions in the space of heterotic \(K3\times T^2\) compactifications are mapped by duality into transitions in the space of Type II compactifications on Calabi-Yau manifolds. We observe that perturbative symmetry restoration, as well as non-perturbative processes such as changes in the number of tensor multiplets, have at least in many cases a simple description in terms of the reflexive polyhedra of the Calabi-Yau manifolds. Our results suggest that to many, perhaps all, four-dimensional \(N=2\) heterotic vacua there are corresponding type II vacua.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14J81 Relationships between surfaces, higher-dimensional varieties, and physics
32G81 Applications of deformations of analytic structures to the sciences
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