Puzzles on the Duality between Heterotic and Type IIA Strings

TL;DR

This paper explores extending the duality between heterotic and type IIA string theories to more complex Calabi-Yau 3-folds with multiple K3 fibers, using dual polyhedron comparisons.

Contribution

It proposes a method to extend string duality to Calabi-Yau 3-folds with additional K3 fibers via dual polyhedron analysis.

Findings

Duality extension is feasible for Calabi-Yau 3-folds with multiple K3 fibers.

Comparison of dual polyhedra supports the proposed duality extension.

Provides a framework for further exploration of string dualities in complex geometries.

Abstract

We discuss the possibility of the extension of the duality between the webs of heterotic string and the type IIA string to Calabi-Yau 3-folds with another K3 fiber by comparing the dual polyhedron of Calabi-Yau 3-folds given by Candelas, Perevalov and Rajesh.