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Perturbative Prepotential and Monodromies in N=2 Heterotic Superstring

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arxiv hep-th/9504034 v2 pith:TER7FY4N submitted 1995-04-07 hep-th

classification hep-th
keywords groupprepotentialdualityfundamentalheteroticmodulisingularitiesspace
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the prepotential describing the effective field theory of N=2 heterotic superstring models. At the one loop-level the prepotential develops logarithmic singularities due to the appearance of charged massless states at particular surfaces in the moduli space of vector multiplets. These singularities modify the classical duality symmetry group which now becomes a representation of the fundamental group of the moduli space minus the singular surfaces. For the simplest two-moduli case, this fundamental group turns out to be a certain braid group and we determine the resulting full duality transformations of the prepotential, which are exact in perturbation theory.

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