On the Hypermultiplet Moduli Space of Heterotic Compactifications with Small Instantons

TL;DR

This paper investigates the hypermultiplet moduli space in heterotic string compactifications on K3xT^2, using duality and mirror symmetry to compute  corrections in specific instanton scenarios.

Contribution

It introduces a method to compute  corrections to the hypermultiplet moduli space via heterotic/type II duality and mirror symmetry, focusing on small instantons on orbifold singularities.

Findings

Computed  corrections in specific heterotic compactifications

Linked heterotic and type II moduli spaces through duality

Analyzed low-dimensional hypermultiplet moduli spaces

Abstract

We explore a relation between four-dimensional N=2 heterotic vacua induced by Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the \alpha' corrections to the hypermultiplet moduli space of heterotic compactifications on K3xT^2 in the limit of large base of the elliptic K3. We concentrate on the case of point-like instantons on orbifold singularities leading to low-dimensional hypermultiplet moduli spaces.