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An $$N=2$$ dual pair and a phase transition. (English) Zbl 1003.81525
Summary: We carefully analyze the $$N=2$$ dual pair of string theories in four dimensions introduced by Ferrara, Harvey, Strominger and Vafa. The analysis shows that a second discrete degree of freedom must be switched on in addition to the known “Wilson line” to achieve a non-perturbatively consistent theory. We also identify the phase transition this model undergoes into another dual pair via a process analogous to a conifold transition. This provides the first known example of a phase transition which is understood from both the type II and the heterotic string picture.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 32G81 Applications of deformations of analytic structures to the sciences 32J81 Applications of compact analytic spaces to the sciences 82B26 Phase transitions (general) in equilibrium statistical mechanics
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