Map of Heterotic and Type IIB Moduli in 8 Dimensions

TL;DR

This paper establishes explicit relations between moduli of Heterotic and Type IIB string theories in 8 dimensions, identifying BPS states responsible for gauge enhancements and computing their masses in specific compactifications.

Contribution

It provides the first explicit mapping of moduli and BPS states between Heterotic and Type IIB theories in 8D, including mass calculations for special elliptic K3 backgrounds.

Findings

Identified dual BPS states responsible for gauge enhancements.

Derived explicit relations among moduli in 8D string theories.

Computed BPS state masses in specific elliptic K3 compactifications.

Abstract

Explicit relations among moduli of the Heterotic and Type IIB string theories in 8 dimensions are obtained. We identify the BPS states responsible for gauge enhancements in the type IIB theory and their dual partners in the Heterotic theory compactified with and without Wilson lines. The masses of BPS states in Type IIB string theory compactified on the base space of a elliptically fibred K3 are computed explicitly for the special cases in which the complex structure of the fibre is constant, ie, for constant scalar fields backgrounds.