Topological Amplitudes in Heterotic Strings with Wilson Lines
arXiv:0705.3112 · doi:10.1088/1126-6708/2007/08/024
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