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\(D\)-strings on \(D\)-manifolds. (English) Zbl 1004.81535
Summary: We study the mechanism for the appearance of massless solitons in type II string compactifications. We find that by combining \(T\)-duality with strong/weak duality of type IIB in ten dimensions enhanced gauge symmetries and massless solitonic hypermultiplets encountered in Calabi-Yau compactifications can be studied perturbatively using \(D\)-strings (the strong/weak dual to type IIB string) compactified on “\(D\)-manifolds”. In particular the nearly massless solitonic states of the type IIB compactifications correspond to elementary states of \(D\)-strings. As examples we consider the \(D\)-string description of enhanced gauge symmetries for type IIA string compactification on ALE spaces with \(A_{n}\) singularities and type IIB on a class of singular Calabi-Yau 3-folds. The class we study includes as a special case the conifold singularity in which case the perturbative spectrum of the \(D\)-string includes the expected massless hypermultiplet with degeneracy one.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
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