Topological Amplitudes in Heterotic Strings with Wilson Lines

Abstract

We consider d=4, N=2 compactifications of heterotic strings with an arbitrary number of Wilson lines. In particular, we focus on known chains of candidate heterotic/type II duals. We give closed expressions for the topological amplitudes F^g in terms of automorphic forms of SO(2+k,2,Z), and find agreement with the geometric data of the dual K3 fibrations wherever those are known.

34 pages, 8 figures; typos corrected, references added

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• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model