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arxiv: hep-th/9504129 · v1 · pith:VY4QZO7Bnew · submitted 1995-04-25 · ✦ hep-th

Moduli Dependence of One--Loop Gauge Couplings in (0,2) Compactifications

classification ✦ 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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  1. Automorphic Structures of Heterotic Vacua

    hep-th 2026-05 unverdicted novelty 7.0

    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.