Topological Amplitudes in Heterotic Strings with Wilson Lines

TL;DR

This paper derives explicit formulas for topological amplitudes in heterotic string compactifications with Wilson lines, linking automorphic forms to geometric data and dualities in string theory.

Contribution

It provides closed-form expressions for topological amplitudes in heterotic strings with Wilson lines, connecting automorphic forms to dual geometric data.

Findings

Derived explicit formulas for F^g amplitudes.

Established agreement with dual K3 fibrations.

Linked automorphic forms to string dualities.

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.