F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions

TL;DR

This paper develops a systematic method to construct F-theory duals of nonperturbative heterotic E8xE8 vacua in six dimensions, revealing geometric structures related to tensor multiplets and base blow-ups.

Contribution

It introduces a toric hypersurface approach to generate F-theory models dual to heterotic vacua with extra tensor multiplets, highlighting geometric features of the base surface.

Findings

Dual models constructed via hypersurfaces in toric varieties.

Base fan structure is visible in the dual polyhedron.

Extra tensor multiplets correspond to blow-ups of the base surface.

Abstract

We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8xE8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the Calabi-Yau is an elliptic fibration over a blow up of the Hirzebruch surface F_n. We find that in most cases the fan of the base of the elliptic fibration is visible in the dual polyhedron of the Calabi-Yau, and that the extra tensor multiplets are represented as points corresponding to the blow-ups of the F_n.