Moduli Dependence of One--Loop Gauge Couplings in (0,2) Compactifications
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✦ hep-th
keywords
functionsgaugemodulione--loopcouplingsdependencesurfaceappropriate
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We derive the moduli dependence of the one--loop gauge couplings for non--vanishing gauge background fields in a four--dimensional heterotic (0,2) string compactification. Remarkably, these functions turn out to have a representation as modular functions on an auxiliary Riemann surface on appropriate truncations of the full moduli space. In particular, a certain kind of one--loop functions is given by the free energy of two--dimensional solitons on this surface.
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Cited by 1 Pith paper
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Automorphic Structures of Heterotic Vacua
Fixed points of Sp(4,Z) are extrema of the moduli potential in these heterotic models, with genus-2 no-go theorems for de Sitter vacua and possible metastable minima after SUSY breaking via nonperturbative Kähler terms.
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